Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920v |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
528190709760000 = 216 · 36 · 54 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-71176,-7201040] |
[a1,a2,a3,a4,a6] |
Generators |
[-142:150:1] |
Generators of the group modulo torsion |
j |
9735776569434889/128952810000 |
j-invariant |
L |
2.8081769798483 |
L(r)(E,1)/r! |
Ω |
0.29252549503112 |
Real period |
R |
2.3999420798771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3990m2 127680fw2 95760ex2 |
Quadratic twists by: -4 8 -3 |