Atkin-Lehner |
2+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
90334f |
Isogeny class |
Conductor |
90334 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-82757943245888 = -1 · 26 · 317 · 47 |
Discriminant |
Eigenvalues |
2+ 1 -2 0 4 -3 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3343,-431036] |
[a1,a2,a3,a4,a6] |
Generators |
[67:274:1] |
Generators of the group modulo torsion |
j |
4657463/93248 |
j-invariant |
L |
4.4850531759486 |
L(r)(E,1)/r! |
Ω |
0.29544029957128 |
Real period |
R |
3.795227990143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967715 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2914c1 |
Quadratic twists by: -31 |