Atkin-Lehner |
5+ 29+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31175b |
Isogeny class |
Conductor |
31175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
183168 |
Modular degree for the optimal curve |
Δ |
-26119291796875 = -1 · 58 · 292 · 433 |
Discriminant |
Eigenvalues |
-2 0 5+ 2 -3 -5 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-298325,-62717094] |
[a1,a2,a3,a4,a6] |
Generators |
[3415:196837:1] |
Generators of the group modulo torsion |
j |
-187919839999586304/1671634675 |
j-invariant |
L |
2.01468371873 |
L(r)(E,1)/r! |
Ω |
0.10214024962133 |
Real period |
R |
4.9311699506294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6235a1 |
Quadratic twists by: 5 |