Atkin-Lehner |
2- 11- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
125488i |
Isogeny class |
Conductor |
125488 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34449408 |
Modular degree for the optimal curve |
Δ |
-3.7542366723842E+22 |
Discriminant |
Eigenvalues |
2- -1 -4 3 11- -2 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-510808200,-4443438961424] |
[a1,a2,a3,a4,a6] |
Generators |
[46247868330:6191533866254:1295029] |
Generators of the group modulo torsion |
j |
-3598631242883319907588753801/9165616875938091008 |
j-invariant |
L |
4.7598268564013 |
L(r)(E,1)/r! |
Ω |
0.015878337451883 |
Real period |
R |
12.490357987272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15686c1 |
Quadratic twists by: -4 |