Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
6390w |
Isogeny class |
Conductor |
6390 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-107327462400 = -1 · 210 · 310 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,598,-14871] |
[a1,a2,a3,a4,a6] |
Generators |
[29:147:1] |
Generators of the group modulo torsion |
j |
32492296871/147225600 |
j-invariant |
L |
6.1027307210561 |
L(r)(E,1)/r! |
Ω |
0.53385090455836 |
Real period |
R |
0.57157632111767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51120bl1 2130a1 31950z1 |
Quadratic twists by: -4 -3 5 |