Atkin-Lehner |
2+ 3+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
80106b |
Isogeny class |
Conductor |
80106 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-22842468140544 = -1 · 29 · 32 · 137 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 3 5 3 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15551,774597] |
[a1,a2,a3,a4,a6] |
Generators |
[83:212:1] |
Generators of the group modulo torsion |
j |
-86175179713/4732416 |
j-invariant |
L |
6.8044115929123 |
L(r)(E,1)/r! |
Ω |
0.668026654406 |
Real period |
R |
1.2732298078018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003741 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6162k1 |
Quadratic twists by: 13 |