Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
12705l |
Isogeny class |
Conductor |
12705 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-1491645504195 = -1 · 37 · 5 · 7 · 117 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 11- 2 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-15286,-734915] |
[a1,a2,a3,a4,a6] |
j |
-222985990144/841995 |
j-invariant |
L |
6.0097111628685 |
L(r)(E,1)/r! |
Ω |
0.21463254153102 |
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 |
38115bf1 63525j1 88935bj1 1155i1 |
Quadratic twists by: -3 5 -7 -11 |