Atkin-Lehner |
2+ 3+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
80106i |
Isogeny class |
Conductor |
80106 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-3124134 = -1 · 2 · 32 · 133 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ -1 1 -1 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-263,1539] |
[a1,a2,a3,a4,a6] |
Generators |
[5:17:1] |
Generators of the group modulo torsion |
j |
-921167317/1422 |
j-invariant |
L |
3.4815447308723 |
L(r)(E,1)/r! |
Ω |
2.5235526223039 |
Real period |
R |
0.34490510510263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003336 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80106be1 |
Quadratic twists by: 13 |