Atkin-Lehner |
2+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
1922b |
Isogeny class |
Conductor |
1922 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120 |
Modular degree for the optimal curve |
Δ |
3844 = 22 · 312 |
Discriminant |
Eigenvalues |
2+ -1 -3 -1 -3 -5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4,-4] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:2:1] [-1:1:1] |
Generators of the group modulo torsion |
j |
10633/4 |
j-invariant |
L |
2.03705265371 |
L(r)(E,1)/r! |
Ω |
3.3788043060121 |
Real period |
R |
0.30144578809837 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999903 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15376v1 61504p1 17298u1 48050u1 |
Quadratic twists by: -4 8 -3 5 |