Atkin-Lehner |
2- 3- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
42966bf |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11200 |
Modular degree for the optimal curve |
Δ |
-6960492 = -1 · 22 · 36 · 7 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ -4 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-65,253] |
[a1,a2,a3,a4,a6] |
Generators |
[11:22:1] |
Generators of the group modulo torsion |
j |
-41063625/9548 |
j-invariant |
L |
9.6791231429583 |
L(r)(E,1)/r! |
Ω |
2.2545040405624 |
Real period |
R |
2.1466191607594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4774f1 |
Quadratic twists by: -3 |