Atkin-Lehner |
3- 5- 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
39585m |
Isogeny class |
Conductor |
39585 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-774876375 = -1 · 34 · 53 · 7 · 13 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -2 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,150,-1125] |
[a1,a2,a3,a4,a6] |
Generators |
[15:60:1] |
Generators of the group modulo torsion |
j |
373092501599/774876375 |
j-invariant |
L |
4.9695503138131 |
L(r)(E,1)/r! |
Ω |
0.83027605141264 |
Real period |
R |
0.99756988561286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118755e1 |
Quadratic twists by: -3 |