Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
15792x |
Isogeny class |
Conductor |
15792 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-4056055176757248 = -1 · 228 · 38 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-109824,-14303232] |
[a1,a2,a3,a4,a6] |
j |
-35765103905346817/990247845888 |
j-invariant |
L |
2.0946224143055 |
L(r)(E,1)/r! |
Ω |
0.13091390089409 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1974i1 63168dp1 47376bl1 110544dq1 |
Quadratic twists by: -4 8 -3 -7 |