Atkin-Lehner |
2- 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61950cr |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
209817216000 = 210 · 34 · 53 · 73 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1628,-12528] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:100:1] |
Generators of the group modulo torsion |
j |
3817627703189/1678537728 |
j-invariant |
L |
11.693206529343 |
L(r)(E,1)/r! |
Ω |
0.7826206593256 |
Real period |
R |
0.24901818417647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000246 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61950m1 |
Quadratic twists by: 5 |