Atkin-Lehner |
2- 7+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
113498l |
Isogeny class |
Conductor |
113498 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
269568 |
Modular degree for the optimal curve |
Δ |
293243791081472 = 226 · 72 · 113 · 67 |
Discriminant |
Eigenvalues |
2- 0 0 7+ 11+ 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30790,-1901611] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:379:1] |
Generators of the group modulo torsion |
j |
2425277846788875/220318400512 |
j-invariant |
L |
9.3256958595974 |
L(r)(E,1)/r! |
Ω |
0.3625055208005 |
Real period |
R |
0.98944868164811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009432 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113498f1 |
Quadratic twists by: -11 |