Atkin-Lehner |
2+ 3+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
80142g |
Isogeny class |
Conductor |
80142 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
79488 |
Modular degree for the optimal curve |
Δ |
-28393829748 = -1 · 22 · 312 · 192 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 0 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1926,-34344] |
[a1,a2,a3,a4,a6] |
Generators |
[90:-774:1] |
Generators of the group modulo torsion |
j |
-2190471664897/78653268 |
j-invariant |
L |
1.5970426871666 |
L(r)(E,1)/r! |
Ω |
0.35955145204056 |
Real period |
R |
1.1104409920215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017656 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80142s1 |
Quadratic twists by: -19 |