Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600gp |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-334611000000 = -1 · 26 · 39 · 56 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -5 -1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1717,4437] |
[a1,a2,a3,a4,a6] |
Generators |
[316:5657:1] |
Generators of the group modulo torsion |
j |
559476224/334611 |
j-invariant |
L |
3.4242320421387 |
L(r)(E,1)/r! |
Ω |
0.5885087931154 |
Real period |
R |
5.81848917262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600iu1 40800bb1 3264y1 |
Quadratic twists by: -4 8 5 |