Atkin-Lehner |
2- 3- 7+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
109494bw |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
133056 |
Modular degree for the optimal curve |
Δ |
-105168768012 = -1 · 22 · 36 · 73 · 113 · 79 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- -7 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-929,19261] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:62:1] |
Generators of the group modulo torsion |
j |
-121508031177/144264428 |
j-invariant |
L |
12.151188822647 |
L(r)(E,1)/r! |
Ω |
0.95930986598469 |
Real period |
R |
2.1110990357244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020081 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12166c1 |
Quadratic twists by: -3 |