Atkin-Lehner |
2- 5+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
15340b |
Isogeny class |
Conductor |
15340 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
51648 |
Modular degree for the optimal curve |
Δ |
27686715801680 = 24 · 5 · 134 · 594 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-46441,-3859320] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:39:1] |
Generators of the group modulo torsion |
j |
692337362177081344/1730419737605 |
j-invariant |
L |
3.3251135148347 |
L(r)(E,1)/r! |
Ω |
0.32526596052941 |
Real period |
R |
1.7037921364528 |
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 |
61360m1 76700b1 |
Quadratic twists by: -4 5 |