Atkin-Lehner |
2- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
30968h |
Isogeny class |
Conductor |
30968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
-6528890783744 = -1 · 211 · 79 · 79 |
Discriminant |
Eigenvalues |
2- -3 2 7- -3 7 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4459,168070] |
[a1,a2,a3,a4,a6] |
j |
-118638/79 |
j-invariant |
L |
1.3864982377275 |
L(r)(E,1)/r! |
Ω |
0.69324911886113 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61936b1 30968g1 |
Quadratic twists by: -4 -7 |