Atkin-Lehner |
2- 3+ 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
8094d |
Isogeny class |
Conductor |
8094 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1408 |
Modular degree for the optimal curve |
Δ |
-3690864 = -1 · 24 · 32 · 192 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 -2 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12,-99] |
[a1,a2,a3,a4,a6] |
Generators |
[7:11:1] |
Generators of the group modulo torsion |
j |
-192100033/3690864 |
j-invariant |
L |
5.5701462812148 |
L(r)(E,1)/r! |
Ω |
1.0732329406261 |
Real period |
R |
1.2975156814432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64752m1 24282d1 |
Quadratic twists by: -4 -3 |