Atkin-Lehner |
2+ 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
80496a |
Isogeny class |
Conductor |
80496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25088 |
Modular degree for the optimal curve |
Δ |
-30910464 = -1 · 211 · 33 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 3 4 -4 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51,-302] |
[a1,a2,a3,a4,a6] |
Generators |
[47:318:1] |
Generators of the group modulo torsion |
j |
-265302/559 |
j-invariant |
L |
9.066784099243 |
L(r)(E,1)/r! |
Ω |
0.83766531911721 |
Real period |
R |
2.7059685689016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000091 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40248b1 80496b1 |
Quadratic twists by: -4 -3 |