Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600dd |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5690880 |
Modular degree for the optimal curve |
Δ |
-1.449548029065E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11- 0 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14908208,22905433212] |
[a1,a2,a3,a4,a6] |
j |
-323194518662500/12784876137 |
j-invariant |
L |
0.49612069049179 |
L(r)(E,1)/r! |
Ω |
0.1240301640118 |
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 |
72600bp1 6600h1 |
Quadratic twists by: 5 -11 |