Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176cg |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-442182856605696 = -1 · 219 · 313 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 -5 -3 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66171,6629290] |
[a1,a2,a3,a4,a6] |
Generators |
[167:486:1] [141:320:1] |
Generators of the group modulo torsion |
j |
-20285403817/279936 |
j-invariant |
L |
7.9315140175639 |
L(r)(E,1)/r! |
Ω |
0.53021767428287 |
Real period |
R |
0.93493606522289 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998403 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9522m1 25392bd1 76176cc1 |
Quadratic twists by: -4 -3 -23 |