Atkin-Lehner |
2+ 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
31080j |
Isogeny class |
Conductor |
31080 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3523666406400 = 210 · 312 · 52 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-138376,19766240] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:4860:1] |
Generators of the group modulo torsion |
j |
286160187180766756/3441080475 |
j-invariant |
L |
5.9789310038221 |
L(r)(E,1)/r! |
Ω |
0.71844000519777 |
Real period |
R |
0.69350849996355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62160h4 93240by4 |
Quadratic twists by: -4 -3 |