Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
96432cr |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-4801073098752 = -1 · 212 · 35 · 76 · 41 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 3 6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8101,297107] |
[a1,a2,a3,a4,a6] |
j |
-122023936/9963 |
j-invariant |
L |
7.5499964193448 |
L(r)(E,1)/r! |
Ω |
0.75499966245123 |
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 |
6027c1 1968j1 |
Quadratic twists by: -4 -7 |