Atkin-Lehner |
2- 3- 5- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
76860f |
Isogeny class |
Conductor |
76860 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
1992211200 = 28 · 36 · 52 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 -4 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-327,-754] |
[a1,a2,a3,a4,a6] |
j |
20720464/10675 |
j-invariant |
L |
2.3740451936677 |
L(r)(E,1)/r! |
Ω |
1.1870226055773 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8540a1 |
Quadratic twists by: -3 |