Atkin-Lehner |
2- 7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
7826l |
Isogeny class |
Conductor |
7826 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-26044928 = -1 · 29 · 7 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 1 0 7- -3 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-39193,2983225] |
[a1,a2,a3,a4,a6] |
Generators |
[258:3043:1] |
Generators of the group modulo torsion |
j |
-6658094075293284625/26044928 |
j-invariant |
L |
7.165844693739 |
L(r)(E,1)/r! |
Ω |
1.4184972360182 |
Real period |
R |
2.5258578274901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
62608p1 70434m1 54782bf1 101738e1 |
Quadratic twists by: -4 -3 -7 13 |