Atkin-Lehner |
2+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
80656b |
Isogeny class |
Conductor |
80656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-5161984 = -1 · 210 · 712 |
Discriminant |
Eigenvalues |
2+ -2 -1 2 2 -2 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,24,-92] |
[a1,a2,a3,a4,a6] |
Generators |
[3:4:1] [8:26:1] |
Generators of the group modulo torsion |
j |
284 |
j-invariant |
L |
7.9579791274539 |
L(r)(E,1)/r! |
Ω |
1.2332738365992 |
Real period |
R |
3.2263633960703 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999797 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40328c1 80656c1 |
Quadratic twists by: -4 -71 |