Atkin-Lehner |
2- 3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
89700x |
Isogeny class |
Conductor |
89700 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
23534813250000 = 24 · 34 · 56 · 133 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20033,-1072812] |
[a1,a2,a3,a4,a6] |
Generators |
[208:1950:1] |
Generators of the group modulo torsion |
j |
3556668227584/94139253 |
j-invariant |
L |
7.3569498648368 |
L(r)(E,1)/r! |
Ω |
0.40194146431435 |
Real period |
R |
1.5252946253815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002714 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3588b1 |
Quadratic twists by: 5 |