Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290m |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10644480 |
Modular degree for the optimal curve |
Δ |
4.4037147844245E+24 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 11- 1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-72926824,217399587766] |
[a1,a2,a3,a4,a6] |
Generators |
[-3327436:39135734:343] |
Generators of the group modulo torsion |
j |
85713473128801/8800000000 |
j-invariant |
L |
4.376211772019 |
L(r)(E,1)/r! |
Ω |
0.075336771695064 |
Real period |
R |
7.2610819287081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996369 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290bg1 5390v1 |
Quadratic twists by: -7 -11 |