Atkin-Lehner |
2- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
31808r |
Isogeny class |
Conductor |
31808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
178751799296 = 220 · 74 · 71 |
Discriminant |
Eigenvalues |
2- 0 2 7+ -4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-97004,-11628720] |
[a1,a2,a3,a4,a6] |
Generators |
[64076810326620:-1376356940825320:99961946721] |
Generators of the group modulo torsion |
j |
385081556901777/681884 |
j-invariant |
L |
6.1956351213112 |
L(r)(E,1)/r! |
Ω |
0.27052175116976 |
Real period |
R |
22.902539609184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31808g4 7952d3 |
Quadratic twists by: -4 8 |