Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080ep |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
705858624000000 = 212 · 38 · 56 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-184548,-30488128] |
[a1,a2,a3,a4,a6] |
Generators |
[2662:135432:1] |
Generators of the group modulo torsion |
j |
232789970236096/236390625 |
j-invariant |
L |
5.3788669071498 |
L(r)(E,1)/r! |
Ω |
0.2303555587077 |
Real period |
R |
5.8375700807896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069396 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
118080eo2 59040bv1 39360cf2 |
Quadratic twists by: -4 8 -3 |