Atkin-Lehner |
2+ 3- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
124488l |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
282624 |
Modular degree for the optimal curve |
Δ |
-10521213616368 = -1 · 24 · 38 · 74 · 133 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32835,2295407] |
[a1,a2,a3,a4,a6] |
Generators |
[79:441:1] |
Generators of the group modulo torsion |
j |
-335650472608000/902024487 |
j-invariant |
L |
5.8549267829332 |
L(r)(E,1)/r! |
Ω |
0.72402929108382 |
Real period |
R |
1.0108235378662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999772436 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41496q1 |
Quadratic twists by: -3 |