Atkin-Lehner |
2- 3- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
102366bd |
Isogeny class |
Conductor |
102366 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
3483648 |
Modular degree for the optimal curve |
Δ |
-300806096458272768 = -1 · 212 · 312 · 113 · 473 |
Discriminant |
Eigenvalues |
2- 3- 0 3 11+ 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10047335,-12255652065] |
[a1,a2,a3,a4,a6] |
j |
-115603434342732237875/310013816832 |
j-invariant |
L |
6.105472462174 |
L(r)(E,1)/r! |
Ω |
0.042399113065162 |
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 |
34122a1 102366g1 |
Quadratic twists by: -3 -11 |