Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
79200ee |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-116435880000000000 = -1 · 212 · 37 · 510 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11- 4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-187500,35300000] |
[a1,a2,a3,a4,a6] |
j |
-25000000/3993 |
j-invariant |
L |
3.844306832371 |
L(r)(E,1)/r! |
Ω |
0.32035890120196 |
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 |
79200bc1 26400e1 79200cj1 |
Quadratic twists by: -4 -3 5 |