Atkin-Lehner |
2+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
15680bh |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-4917248000 = -1 · 214 · 53 · 74 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ -6 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3985,98225] |
[a1,a2,a3,a4,a6] |
Generators |
[355:-6580:1] [-35:440:1] |
Generators of the group modulo torsion |
j |
-177953104/125 |
j-invariant |
L |
5.941758596687 |
L(r)(E,1)/r! |
Ω |
1.3549764945001 |
Real period |
R |
0.12180938236045 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15680da1 980a1 78400e1 15680n1 |
Quadratic twists by: -4 8 5 -7 |