Atkin-Lehner |
2+ 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79968a |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
56832 |
Modular degree for the optimal curve |
Δ |
501559296 = 212 · 3 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ -2 -7 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-849,-9183] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:7:1] |
Generators of the group modulo torsion |
j |
6889792/51 |
j-invariant |
L |
5.5893922574913 |
L(r)(E,1)/r! |
Ω |
0.88475659419975 |
Real period |
R |
1.0529058298399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002429 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79968ce1 79968bj1 |
Quadratic twists by: -4 -7 |