Atkin-Lehner |
2- 3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
31878bm |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
1012190256 = 24 · 36 · 73 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11+ -3 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-446,-3171] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:11:1] |
Generators of the group modulo torsion |
j |
13430356633/1388464 |
j-invariant |
L |
10.5738776433 |
L(r)(E,1)/r! |
Ω |
1.0460002962996 |
Real period |
R |
0.84240556469463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3542f1 |
Quadratic twists by: -3 |