Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290ec |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
504 |
Product of Tamagawa factors cp |
deg |
27095040 |
Modular degree for the optimal curve |
Δ |
1.6105014068752E+25 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- -2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-750138192,-7905334216909] |
[a1,a2,a3,a4,a6] |
Generators |
[-15779:-40111:1] |
Generators of the group modulo torsion |
j |
652993822364173263/225280000000 |
j-invariant |
L |
9.4272794742927 |
L(r)(E,1)/r! |
Ω |
0.028848499370287 |
Real period |
R |
2.5935379655885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59290cr1 5390r1 |
Quadratic twists by: -7 -11 |