Atkin-Lehner |
2+ 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
80496b |
Isogeny class |
Conductor |
80496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-22533728256 = -1 · 211 · 39 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -3 4 4 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-459,8154] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:108:1] |
Generators of the group modulo torsion |
j |
-265302/559 |
j-invariant |
L |
6.4959432357337 |
L(r)(E,1)/r! |
Ω |
1.0708873445655 |
Real period |
R |
0.75824306657814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004478 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40248r1 80496a1 |
Quadratic twists by: -4 -3 |