Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928el |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-16893038315962368 = -1 · 226 · 311 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,63060,1397968] |
[a1,a2,a3,a4,a6] |
Generators |
[1712:71604:1] |
Generators of the group modulo torsion |
j |
145116956375/88397568 |
j-invariant |
L |
8.3608628604687 |
L(r)(E,1)/r! |
Ω |
0.24011988340014 |
Real period |
R |
4.3524419497303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928bf1 29232bi1 38976bs1 |
Quadratic twists by: -4 8 -3 |