Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
92575x |
Isogeny class |
Conductor |
92575 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
12317184 |
Modular degree for the optimal curve |
Δ |
2.5118266150665E+22 |
Discriminant |
Eigenvalues |
-2 0 5+ 7- 5 -4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-35535575,-81177480094] |
[a1,a2,a3,a4,a6] |
Generators |
[-3565:14087:1] |
Generators of the group modulo torsion |
j |
1134964776505135104/5744580078125 |
j-invariant |
L |
2.8775195496819 |
L(r)(E,1)/r! |
Ω |
0.061853749671967 |
Real period |
R |
1.2922595529648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999627158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18515f1 92575k1 |
Quadratic twists by: 5 -23 |