Atkin-Lehner |
2+ 5+ 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
96560b |
Isogeny class |
Conductor |
96560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
130176 |
Modular degree for the optimal curve |
Δ |
-1521121750000 = -1 · 24 · 56 · 17 · 713 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 1 0 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8516,-311105] |
[a1,a2,a3,a4,a6] |
Generators |
[166287:1022875:1331] |
Generators of the group modulo torsion |
j |
-4269349259302144/95070109375 |
j-invariant |
L |
3.7560282642071 |
L(r)(E,1)/r! |
Ω |
0.24816135539522 |
Real period |
R |
7.5677138663962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009454 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48280c1 |
Quadratic twists by: -4 |