Atkin-Lehner |
2+ 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
96600bk |
Isogeny class |
Conductor |
96600 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
1372800 |
Modular degree for the optimal curve |
Δ |
-2852066700000000 = -1 · 28 · 311 · 58 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 3 2 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1408708,-644020912] |
[a1,a2,a3,a4,a6] |
j |
-3091626087530320/28520667 |
j-invariant |
L |
4.5730713174325 |
L(r)(E,1)/r! |
Ω |
0.069288960783052 |
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 |
96600bq1 |
Quadratic twists by: 5 |