Atkin-Lehner |
2+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
61936c |
Isogeny class |
Conductor |
61936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-55494656 = -1 · 211 · 73 · 79 |
Discriminant |
Eigenvalues |
2+ -3 -2 7- 3 -7 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-91,490] |
[a1,a2,a3,a4,a6] |
Generators |
[7:14:1] [-7:28:1] |
Generators of the group modulo torsion |
j |
-118638/79 |
j-invariant |
L |
5.6720846726721 |
L(r)(E,1)/r! |
Ω |
1.8341647651212 |
Real period |
R |
0.38655773874016 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30968g1 61936b1 |
Quadratic twists by: -4 -7 |