Atkin-Lehner |
3- 5- 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100485ba |
Isogeny class |
Conductor |
100485 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
-1069153865648859375 = -1 · 38 · 56 · 7 · 116 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11- 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,68773,-49278774] |
[a1,a2,a3,a4,a6] |
Generators |
[426:7349:1] |
Generators of the group modulo torsion |
j |
49346461080651671/1466603382234375 |
j-invariant |
L |
4.5005918905081 |
L(r)(E,1)/r! |
Ω |
0.13328204560648 |
Real period |
R |
0.93798410941134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044337 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33495f1 |
Quadratic twists by: -3 |