Atkin-Lehner |
2+ 3+ 37- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
94128b |
Isogeny class |
Conductor |
94128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
128000 |
Modular degree for the optimal curve |
Δ |
-6179153796864 = -1 · 28 · 35 · 374 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2468,-110720] |
[a1,a2,a3,a4,a6] |
j |
6491472637232/24137319519 |
j-invariant |
L |
3.0674768379714 |
L(r)(E,1)/r! |
Ω |
0.38343459105626 |
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 |
47064b1 |
Quadratic twists by: -4 |