Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600v |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-11276718750000 = -1 · 24 · 38 · 510 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5550,27875] |
[a1,a2,a3,a4,a6] |
j |
103737344/61875 |
j-invariant |
L |
1.7541516929745 |
L(r)(E,1)/r! |
Ω |
0.43853792324647 |
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 |
19800bo1 13200m1 7920f1 |
Quadratic twists by: -4 -3 5 |