Atkin-Lehner |
2- 3+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74256bp |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
54132624 = 24 · 37 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 2 13- 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-390,-2817] |
[a1,a2,a3,a4,a6] |
Generators |
[-3913:1427:343] |
Generators of the group modulo torsion |
j |
411065142016/3383289 |
j-invariant |
L |
6.3291509342702 |
L(r)(E,1)/r! |
Ω |
1.0746232673865 |
Real period |
R |
5.8896462865787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18564p1 |
Quadratic twists by: -4 |