Atkin-Lehner |
5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
2135d |
Isogeny class |
Conductor |
2135 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
880 |
Modular degree for the optimal curve |
Δ |
4169921875 = 510 · 7 · 61 |
Discriminant |
Eigenvalues |
1 -1 5+ 7- 5 2 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-423,-1442] |
[a1,a2,a3,a4,a6] |
Generators |
[214:3018:1] |
Generators of the group modulo torsion |
j |
8401330071289/4169921875 |
j-invariant |
L |
3.0830476783793 |
L(r)(E,1)/r! |
Ω |
1.1076087368732 |
Real period |
R |
1.3917584683752 |
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 |
34160o1 19215z1 10675c1 14945f1 |
Quadratic twists by: -4 -3 5 -7 |