Atkin-Lehner |
2- 3- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
116178bb |
Isogeny class |
Conductor |
116178 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
deg |
49766400 |
Modular degree for the optimal curve |
Δ |
1.3066903166147E+25 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -4 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-699055748,-7111964294640] |
[a1,a2,a3,a4,a6] |
Generators |
[352264:208292284:1] |
Generators of the group modulo torsion |
j |
1565184783388747048998625/541351250664357888 |
j-invariant |
L |
11.566363939369 |
L(r)(E,1)/r! |
Ω |
0.029361660751559 |
Real period |
R |
2.462046519317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953403 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6834n1 |
Quadratic twists by: 17 |