Atkin-Lehner |
2- 3- 7+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29274bk |
Isogeny class |
Conductor |
29274 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-15925056 = -1 · 26 · 3 · 7 · 172 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 4 -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,0,-192] |
[a1,a2,a3,a4,a6] |
Generators |
[14:44:1] |
Generators of the group modulo torsion |
j |
-1/15925056 |
j-invariant |
L |
10.869324746605 |
L(r)(E,1)/r! |
Ω |
1.0110844050479 |
Real period |
R |
0.89584712976974 |
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 |
87822e1 |
Quadratic twists by: -3 |