Atkin-Lehner |
2+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
118336i |
Isogeny class |
Conductor |
118336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2311680 |
Modular degree for the optimal curve |
Δ |
765997893392859136 = 216 · 438 |
Discriminant |
Eigenvalues |
2+ 3 -1 1 -4 -5 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-318028,-54700816] |
[a1,a2,a3,a4,a6] |
Generators |
[-442195650:5561711936:1601613] |
Generators of the group modulo torsion |
j |
4644 |
j-invariant |
L |
11.387976880517 |
L(r)(E,1)/r! |
Ω |
0.20411182114474 |
Real period |
R |
13.948208320141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118336bc1 14792f1 118336r1 |
Quadratic twists by: -4 8 -43 |