Atkin-Lehner |
2- 3+ 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920cl |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
24772608 |
Modular degree for the optimal curve |
Δ |
2.5866373154391E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-78825627,112624801354] |
[a1,a2,a3,a4,a6] |
Generators |
[-8617:389910:1] |
Generators of the group modulo torsion |
j |
489781415227546051766883/233890092903563264000 |
j-invariant |
L |
5.1527775830558 |
L(r)(E,1)/r! |
Ω |
0.059683391126127 |
Real period |
R |
7.1946000763823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036482 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14490bi1 115920cb1 |
Quadratic twists by: -4 -3 |