Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680bn |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-164708600000 = -1 · 26 · 55 · 77 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 3 -7 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,425,19375] |
[a1,a2,a3,a4,a6] |
Generators |
[30:245:1] |
Generators of the group modulo torsion |
j |
1124864/21875 |
j-invariant |
L |
6.100895917115 |
L(r)(E,1)/r! |
Ω |
0.76203056575006 |
Real period |
R |
0.80061039429697 |
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 |
15680br1 7840r1 78400br1 2240a1 |
Quadratic twists by: -4 8 5 -7 |