Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
39600dv |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-110523120468750000 = -1 · 24 · 312 · 510 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,49200,-15433625] |
[a1,a2,a3,a4,a6] |
j |
72268906496/606436875 |
j-invariant |
L |
1.9846001333064 |
L(r)(E,1)/r! |
Ω |
0.16538334444415 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9900l1 13200cc1 7920bl1 |
Quadratic twists by: -4 -3 5 |