Atkin-Lehner |
2+ 3- 5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
88350bj |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
6714600000000000 = 212 · 3 · 511 · 192 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-161501,-24681352] |
[a1,a2,a3,a4,a6] |
j |
29814358402261441/429734400000 |
j-invariant |
L |
1.9068877874431 |
L(r)(E,1)/r! |
Ω |
0.23836096453843 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17670r1 |
Quadratic twists by: 5 |