Atkin-Lehner |
5+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
31775i |
Isogeny class |
Conductor |
31775 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
646807431640625 = 510 · 312 · 413 |
Discriminant |
Eigenvalues |
-1 -2 5+ -4 2 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-29438,-1513133] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:680:1] |
Generators of the group modulo torsion |
j |
180563311508761/41395675625 |
j-invariant |
L |
1.7789851865 |
L(r)(E,1)/r! |
Ω |
0.37048569414997 |
Real period |
R |
0.80029414297245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6355h1 |
Quadratic twists by: 5 |