Atkin-Lehner |
2+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350s |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
254822400 |
Modular degree for the optimal curve |
Δ |
-1.0581748076219E+31 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -1 7 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5485876315,-6000794590195] |
[a1,a2,a3,a4,a6] |
Generators |
[2288701699738411346500514117183966357210899679912976019650761234992803353297347026150380599529827161494:961430597663463352684726691395166244562160249324016464842787817076375566981034125952737480474914684984117:59410696197285822738461913365626280892128320047022194101585829126997916894868105641094199450137839] |
Generators of the group modulo torsion |
j |
6207739706686418986737717455/3597734983287246467104768 |
j-invariant |
L |
8.4666226435192 |
L(r)(E,1)/r! |
Ω |
0.013554943270763 |
Real period |
R |
156.15378232126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105350dj1 15050c1 |
Quadratic twists by: 5 -7 |