Atkin-Lehner |
3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
12705o |
Isogeny class |
Conductor |
12705 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
3552567073547492385 = 316 · 5 · 7 · 119 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-382060,-6242785] |
[a1,a2,a3,a4,a6] |
j |
3481467828171481/2005331497785 |
j-invariant |
L |
0.83637862556074 |
L(r)(E,1)/r! |
Ω |
0.20909465639019 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38115l1 63525p1 88935o1 1155l1 |
Quadratic twists by: -3 5 -7 -11 |