Atkin-Lehner |
3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
123627u |
Isogeny class |
Conductor |
123627 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
9500400 |
Modular degree for the optimal curve |
Δ |
-3.4337656905191E+22 |
Discriminant |
Eigenvalues |
1 3- 0 7- 6 3 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6099791,-10635764191] |
[a1,a2,a3,a4,a6] |
j |
-177625/243 |
j-invariant |
L |
3.6589345657911 |
L(r)(E,1)/r! |
Ω |
0.045736698749496 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123627b1 123627g1 |
Quadratic twists by: -7 29 |