Atkin-Lehner |
2- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7192b |
Isogeny class |
Conductor |
7192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
608 |
Modular degree for the optimal curve |
Δ |
-417136 = -1 · 24 · 292 · 31 |
Discriminant |
Eigenvalues |
2- 2 1 -3 4 0 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,0,-31] |
[a1,a2,a3,a4,a6] |
Generators |
[20:87:1] |
Generators of the group modulo torsion |
j |
-256/26071 |
j-invariant |
L |
5.7152025748367 |
L(r)(E,1)/r! |
Ω |
1.3649862843051 |
Real period |
R |
1.0467509162091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14384b1 57536e1 64728c1 |
Quadratic twists by: -4 8 -3 |