Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
31248bp |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
922522530779136 = 212 · 314 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30099,-1379950] |
[a1,a2,a3,a4,a6] |
j |
1009932705937/308950929 |
j-invariant |
L |
1.484367333333 |
L(r)(E,1)/r! |
Ω |
0.37109183333319 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1953d2 124992fe2 10416u2 |
Quadratic twists by: -4 8 -3 |