Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31248bz |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-40821387264 = -1 · 212 · 38 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,501,-8710] |
[a1,a2,a3,a4,a6] |
j |
4657463/13671 |
j-invariant |
L |
2.3512663809332 |
L(r)(E,1)/r! |
Ω |
0.58781659523317 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1953c1 124992gb1 10416ba1 |
Quadratic twists by: -4 8 -3 |