Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280c |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-62481715200000 = -1 · 215 · 39 · 55 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 5 0 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8532,-229392] |
[a1,a2,a3,a4,a6] |
Generators |
[1341:49221:1] |
Generators of the group modulo torsion |
j |
106496424/96875 |
j-invariant |
L |
7.6238743421653 |
L(r)(E,1)/r! |
Ω |
0.3411898710165 |
Real period |
R |
5.586240236587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987041 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89280k1 44640bc1 89280o1 |
Quadratic twists by: -4 8 -3 |