Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920gl |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
267744153600 = 212 · 32 · 52 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3641,-82041] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:33:1] |
Generators of the group modulo torsion |
j |
1303602169024/65367225 |
j-invariant |
L |
5.7729237039606 |
L(r)(E,1)/r! |
Ω |
0.61650221438317 |
Real period |
R |
2.3409987707362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997436 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920fb2 36960bj1 |
Quadratic twists by: -4 8 |