Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69192u |
Isogeny class |
Conductor |
69192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
717382656 = 210 · 36 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 3 5 1 -1 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-651,6262] |
[a1,a2,a3,a4,a6] |
Generators |
[63:464:1] |
Generators of the group modulo torsion |
j |
42532 |
j-invariant |
L |
9.9666155290704 |
L(r)(E,1)/r! |
Ω |
1.6028700641267 |
Real period |
R |
3.1089904766681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996568 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7688j1 69192f1 |
Quadratic twists by: -3 -31 |