Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
113288c |
Isogeny class |
Conductor |
113288 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
279552 |
Modular degree for the optimal curve |
Δ |
-29002206528512 = -1 · 210 · 78 · 173 |
Discriminant |
Eigenvalues |
2+ -1 4 7+ -1 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1944,256348] |
[a1,a2,a3,a4,a6] |
Generators |
[82:980:1] |
Generators of the group modulo torsion |
j |
28 |
j-invariant |
L |
7.875274436041 |
L(r)(E,1)/r! |
Ω |
0.50105016269285 |
Real period |
R |
1.3097947391235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038673 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113288f1 113288b1 |
Quadratic twists by: -7 17 |