Atkin-Lehner |
2+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
1562b |
Isogeny class |
Conductor |
1562 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
1006246648 = 23 · 116 · 71 |
Discriminant |
Eigenvalues |
2+ -3 2 -3 11- 1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1951,-32651] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:18:1] |
Generators of the group modulo torsion |
j |
821524892664393/1006246648 |
j-invariant |
L |
1.3824728205959 |
L(r)(E,1)/r! |
Ω |
0.71838415534457 |
Real period |
R |
0.32073666303993 |
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 |
12496e1 49984f1 14058g1 39050q1 |
Quadratic twists by: -4 8 -3 5 |