Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113256m |
Isogeny class |
Conductor |
113256 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-614614772318976 = -1 · 28 · 36 · 117 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 11- 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-262812,51871732] |
[a1,a2,a3,a4,a6] |
Generators |
[396:3146:1] |
Generators of the group modulo torsion |
j |
-6072054784/1859 |
j-invariant |
L |
8.18374946824 |
L(r)(E,1)/r! |
Ω |
0.50335478585076 |
Real period |
R |
0.50807537301068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011913 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12584h1 10296l1 |
Quadratic twists by: -3 -11 |