Atkin-Lehner |
2+ 5+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118490a |
Isogeny class |
Conductor |
118490 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
1583424526400 = 26 · 52 · 176 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 6 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4100,81936] |
[a1,a2,a3,a4,a6] |
Generators |
[56:132:1] |
Generators of the group modulo torsion |
j |
315821241/65600 |
j-invariant |
L |
4.9982672343007 |
L(r)(E,1)/r! |
Ω |
0.7995698169129 |
Real period |
R |
3.1255977607685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999513004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
410a1 |
Quadratic twists by: 17 |