Atkin-Lehner |
2+ 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15312i |
Isogeny class |
Conductor |
15312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3328 |
Modular degree for the optimal curve |
Δ |
28419072 = 210 · 3 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11- 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-88,-220] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:6:1] |
Generators of the group modulo torsion |
j |
74438500/27753 |
j-invariant |
L |
5.223102832528 |
L(r)(E,1)/r! |
Ω |
1.6064038779125 |
Real period |
R |
1.6257128435582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7656e1 61248bm1 45936l1 |
Quadratic twists by: -4 8 -3 |