Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31248bj |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
292607703908352 = 222 · 38 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27291,-1527734] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:54:1] |
Generators of the group modulo torsion |
j |
752825955673/97993728 |
j-invariant |
L |
3.7792849786015 |
L(r)(E,1)/r! |
Ω |
0.37463360814747 |
Real period |
R |
2.5219874141095 |
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 |
3906v1 124992em1 10416bg1 |
Quadratic twists by: -4 8 -3 |