Atkin-Lehner |
5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
2135c |
Isogeny class |
Conductor |
2135 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
792 |
Modular degree for the optimal curve |
Δ |
-10675 = -1 · 52 · 7 · 61 |
Discriminant |
Eigenvalues |
0 -2 5+ 7- 0 -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4891,130040] |
[a1,a2,a3,a4,a6] |
Generators |
[4:332:1] |
Generators of the group modulo torsion |
j |
-12942122082402304/10675 |
j-invariant |
L |
1.6809599965596 |
L(r)(E,1)/r! |
Ω |
2.527995241866 |
Real period |
R |
2.9922208156272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
34160p1 19215w1 10675b1 14945e1 |
Quadratic twists by: -4 -3 5 -7 |