Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
31248bd |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1093430016 = 28 · 39 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -6 -2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31239,2125170] |
[a1,a2,a3,a4,a6] |
j |
669088897776/217 |
j-invariant |
L |
2.4975410939917 |
L(r)(E,1)/r! |
Ω |
1.2487705469956 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7812a2 124992ec2 31248be2 |
Quadratic twists by: -4 8 -3 |