Atkin-Lehner |
2+ 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
102960bo |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-133436160 = -1 · 28 · 36 · 5 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,556] |
[a1,a2,a3,a4,a6] |
j |
-1024/715 |
j-invariant |
L |
2.9874476769738 |
L(r)(E,1)/r! |
Ω |
1.4937237903028 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51480p1 11440a1 |
Quadratic twists by: -4 -3 |