Atkin-Lehner |
5- 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
122815o |
Isogeny class |
Conductor |
122815 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14319360 |
Modular degree for the optimal curve |
Δ |
-6.6449399820724E+21 |
Discriminant |
Eigenvalues |
-2 1 5- 7+ 11- -4 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-15963570,24855514756] |
[a1,a2,a3,a4,a6] |
j |
-17345505086795776/256191201875 |
j-invariant |
L |
1.6046516525978 |
L(r)(E,1)/r! |
Ω |
0.13372097664586 |
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 |
122815q1 |
Quadratic twists by: -11 |