Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680x |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-561971200 = -1 · 216 · 52 · 73 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -4 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,159,895] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:20:1] [2:35:1] |
Generators of the group modulo torsion |
j |
19652/25 |
j-invariant |
L |
4.7726039404358 |
L(r)(E,1)/r! |
Ω |
1.1003982331632 |
Real period |
R |
1.084290168005 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15680cs1 1960o1 78400cn1 15680bv1 |
Quadratic twists by: -4 8 5 -7 |