Atkin-Lehner |
2+ 7- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
105616g |
Isogeny class |
Conductor |
105616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-38866688 = -1 · 28 · 7 · 232 · 41 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,65,222] |
[a1,a2,a3,a4,a6] |
Generators |
[1469:56304:1] |
Generators of the group modulo torsion |
j |
118638000/151823 |
j-invariant |
L |
6.9241235165243 |
L(r)(E,1)/r! |
Ω |
1.3753497973583 |
Real period |
R |
5.0344454498938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999815161 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52808e1 |
Quadratic twists by: -4 |