Atkin-Lehner |
2+ 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15960d |
Isogeny class |
Conductor |
15960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-1951371233280 = -1 · 211 · 34 · 5 · 73 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 3 -3 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1064,66224] |
[a1,a2,a3,a4,a6] |
j |
64984593742/952817985 |
j-invariant |
L |
2.4649886433791 |
L(r)(E,1)/r! |
Ω |
0.61624716084478 |
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 |
31920f1 127680bd1 47880bl1 79800bd1 |
Quadratic twists by: -4 8 -3 5 |