Atkin-Lehner |
2+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
84568f |
Isogeny class |
Conductor |
84568 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-619804170692608 = -1 · 211 · 11 · 317 |
Discriminant |
Eigenvalues |
2+ -2 0 -3 11- 0 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8008,-1231824] |
[a1,a2,a3,a4,a6] |
Generators |
[305277:9058386:343] |
Generators of the group modulo torsion |
j |
-31250/341 |
j-invariant |
L |
3.2026228591443 |
L(r)(E,1)/r! |
Ω |
0.21850374364582 |
Real period |
R |
7.3285308717029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999917638 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2728a1 |
Quadratic twists by: -31 |