Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
15680de |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-2361262489600000 = -1 · 217 · 55 · 78 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -1 3 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-47105,-4592897] |
[a1,a2,a3,a4,a6] |
Generators |
[751:-19600:1] |
Generators of the group modulo torsion |
j |
-15298178/3125 |
j-invariant |
L |
3.3502190216658 |
L(r)(E,1)/r! |
Ω |
0.16027225005385 |
Real period |
R |
0.3483883434323 |
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 |
15680bi1 3920c1 78400gi1 15680cq1 |
Quadratic twists by: -4 8 5 -7 |