Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920bk |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
2335791366236160000 = 214 · 36 · 54 · 74 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-396240,61854912] |
[a1,a2,a3,a4,a6] |
Generators |
[-318:12474:1] |
Generators of the group modulo torsion |
j |
1679731262160129361/570261564022500 |
j-invariant |
L |
5.5841451579512 |
L(r)(E,1)/r! |
Ω |
0.23808678142283 |
Real period |
R |
2.931780338969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
3990bb3 127680fi4 95760ea4 |
Quadratic twists by: -4 8 -3 |