Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920bk |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4601703199384166400 = 213 · 33 · 52 · 72 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5688240,5222613312] |
[a1,a2,a3,a4,a6] |
Generators |
[2482:79926:1] |
Generators of the group modulo torsion |
j |
4969327007303723277361/1123462695162150 |
j-invariant |
L |
5.5841451579512 |
L(r)(E,1)/r! |
Ω |
0.23808678142283 |
Real period |
R |
5.8635606779381 |
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 |
3990bb5 127680fi6 95760ea6 |
Quadratic twists by: -4 8 -3 |