Atkin-Lehner |
3- 5- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
77775i |
Isogeny class |
Conductor |
77775 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
11404800 |
Modular degree for the optimal curve |
Δ |
-2.5171092064467E+24 |
Discriminant |
Eigenvalues |
-1 3- 5- 2 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,24879737,59542587392] |
[a1,a2,a3,a4,a6] |
Generators |
[-1072:178412:1] |
Generators of the group modulo torsion |
j |
872029199951601852259/1288759913700735843 |
j-invariant |
L |
4.5252865493355 |
L(r)(E,1)/r! |
Ω |
0.055173160906966 |
Real period |
R |
2.7339902676567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001482 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77775e1 |
Quadratic twists by: 5 |