Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
96100c |
Isogeny class |
Conductor |
96100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-550252282220000000 = -1 · 28 · 57 · 317 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 0 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2434533,-1463328937] |
[a1,a2,a3,a4,a6] |
Generators |
[133896458386739221391374886:466595732452657572346650575:74106539422190119344527] |
Generators of the group modulo torsion |
j |
-449511424/155 |
j-invariant |
L |
9.1774889868087 |
L(r)(E,1)/r! |
Ω |
0.060430563574734 |
Real period |
R |
37.967083392574 |
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 |
19220a1 3100d1 |
Quadratic twists by: 5 -31 |