Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952cd |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
18056134656 = 214 · 33 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -2 3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13083,575946] |
[a1,a2,a3,a4,a6] |
Generators |
[63:42:1] |
Generators of the group modulo torsion |
j |
932673987/68 |
j-invariant |
L |
6.2809060708668 |
L(r)(E,1)/r! |
Ω |
1.1675840342337 |
Real period |
R |
0.4482836543348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031135 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14994bm1 119952bu1 119952ck1 |
Quadratic twists by: -4 -3 -7 |