Atkin-Lehner |
2+ 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
95400s |
Isogeny class |
Conductor |
95400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
742400 |
Modular degree for the optimal curve |
Δ |
-4694395500000000 = -1 · 28 · 311 · 59 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 6 2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-259500,-50987500] |
[a1,a2,a3,a4,a6] |
j |
-5301982208/12879 |
j-invariant |
L |
3.383935031119 |
L(r)(E,1)/r! |
Ω |
0.10574796511823 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31800u1 95400bh1 |
Quadratic twists by: -3 5 |