Atkin-Lehner |
2- 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
70886d |
Isogeny class |
Conductor |
70886 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
158976 |
Modular degree for the optimal curve |
Δ |
-3339014144 = -1 · 212 · 233 · 67 |
Discriminant |
Eigenvalues |
2- 1 -1 4 -2 4 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-44861,3653489] |
[a1,a2,a3,a4,a6] |
Generators |
[122:-65:1] |
Generators of the group modulo torsion |
j |
-820630510795367/274432 |
j-invariant |
L |
12.757802025372 |
L(r)(E,1)/r! |
Ω |
1.1391475421974 |
Real period |
R |
0.46664287515023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001489 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70886f1 |
Quadratic twists by: -23 |