Atkin-Lehner |
2+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72800c |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-18200000000 = -1 · 29 · 58 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ -3 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,6488] |
[a1,a2,a3,a4,a6] |
Generators |
[38:250:1] |
Generators of the group modulo torsion |
j |
-8/2275 |
j-invariant |
L |
6.4509023603718 |
L(r)(E,1)/r! |
Ω |
0.97635597774482 |
Real period |
R |
1.6517803208538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994178 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72800l1 14560t1 |
Quadratic twists by: -4 5 |