Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680cq |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-20070400000 = -1 · 217 · 55 · 72 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -1 -3 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-961,13665] |
[a1,a2,a3,a4,a6] |
Generators |
[21:48:1] |
Generators of the group modulo torsion |
j |
-15298178/3125 |
j-invariant |
L |
6.3469606541978 |
L(r)(E,1)/r! |
Ω |
1.1650355366765 |
Real period |
R |
1.3619671791952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15680t1 3920n1 78400in1 15680de1 |
Quadratic twists by: -4 8 5 -7 |