Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966cg |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
160657162860063744 = 210 · 33 · 72 · 179 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 0 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-347240,-76388938] |
[a1,a2,a3,a4,a6] |
Generators |
[3849:233899:1] |
Generators of the group modulo torsion |
j |
3914907891433/135834624 |
j-invariant |
L |
4.3349370233789 |
L(r)(E,1)/r! |
Ω |
0.1970910593963 |
Real period |
R |
0.91644124476379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009365 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84966b1 4998f1 |
Quadratic twists by: -7 17 |