Atkin-Lehner |
2- 3+ 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
51504c |
Isogeny class |
Conductor |
51504 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-2.18040297116E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 0 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-742408,333554416] |
[a1,a2,a3,a4,a6] |
j |
-11048219103312015625/5323249441308672 |
j-invariant |
L |
1.2023629962339 |
L(r)(E,1)/r! |
Ω |
0.20039383274728 |
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 |
6438c2 |
Quadratic twists by: -4 |