Atkin-Lehner |
2+ 5- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
124270r |
Isogeny class |
Conductor |
124270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67069440 |
Modular degree for the optimal curve |
Δ |
-8.3421729109361E+24 |
Discriminant |
Eigenvalues |
2+ -3 5- -4 0 5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,30853586,122300684500] |
[a1,a2,a3,a4,a6] |
Generators |
[-393953:100402091:343] |
Generators of the group modulo torsion |
j |
134569648880532339111/345609489958830080 |
j-invariant |
L |
3.0636754500296 |
L(r)(E,1)/r! |
Ω |
0.051483679288366 |
Real period |
R |
7.4384629336732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997696381 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7310d1 |
Quadratic twists by: 17 |