Atkin-Lehner |
2- 3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
102672cl |
Isogeny class |
Conductor |
102672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
1255739184119808 = 228 · 38 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 4 4 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31539,-1319438] |
[a1,a2,a3,a4,a6] |
Generators |
[130785947435:-2106219773952:365525875] |
Generators of the group modulo torsion |
j |
1161930075697/420544512 |
j-invariant |
L |
10.333663600075 |
L(r)(E,1)/r! |
Ω |
0.3690602405451 |
Real period |
R |
13.999968642834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12834c1 34224bh1 |
Quadratic twists by: -4 -3 |