Atkin-Lehner |
2- 7+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
117334n |
Isogeny class |
Conductor |
117334 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3926016 |
Modular degree for the optimal curve |
Δ |
-5.2985996742623E+19 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 3 5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-382064,-361981167] |
[a1,a2,a3,a4,a6] |
Generators |
[903:5057:1] |
Generators of the group modulo torsion |
j |
-255528066904993/2195167075136 |
j-invariant |
L |
11.548652151238 |
L(r)(E,1)/r! |
Ω |
0.084264704674132 |
Real period |
R |
5.7105028736115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030118 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6902e1 |
Quadratic twists by: 17 |