Atkin-Lehner |
2- 3- 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
48348h |
Isogeny class |
Conductor |
48348 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
412031561640350976 = 28 · 315 · 175 · 79 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 -4 6 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1126056,-458888092] |
[a1,a2,a3,a4,a6] |
Generators |
[5692:421362:1] |
Generators of the group modulo torsion |
j |
846128230969827328/2207816581149 |
j-invariant |
L |
7.5148731139367 |
L(r)(E,1)/r! |
Ω |
0.14658099410323 |
Real period |
R |
0.85446197167754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16116a1 |
Quadratic twists by: -3 |