Atkin-Lehner |
2- 3- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
115434bu |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1351680 |
Modular degree for the optimal curve |
Δ |
-102614302416485376 = -1 · 210 · 317 · 114 · 53 |
Discriminant |
Eigenvalues |
2- 3- -3 3 11- -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-194954,-36492343] |
[a1,a2,a3,a4,a6] |
Generators |
[927:-24521:1] |
Generators of the group modulo torsion |
j |
-76774996566697/9614121984 |
j-invariant |
L |
9.9753770153131 |
L(r)(E,1)/r! |
Ω |
0.1128119852105 |
Real period |
R |
0.73687331665117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011333 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38478c1 115434w1 |
Quadratic twists by: -3 -11 |