Atkin-Lehner |
2+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
62560g |
Isogeny class |
Conductor |
62560 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
81280 |
Modular degree for the optimal curve |
Δ |
-35013705920 = -1 · 26 · 5 · 17 · 235 |
Discriminant |
Eigenvalues |
2+ -3 5- -4 3 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-277,-9176] |
[a1,a2,a3,a4,a6] |
Generators |
[105:1058:1] |
Generators of the group modulo torsion |
j |
-36726796224/547089155 |
j-invariant |
L |
3.3483141203814 |
L(r)(E,1)/r! |
Ω |
0.49750425651229 |
Real period |
R |
0.67302220568984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62560e1 125120bx1 |
Quadratic twists by: -4 8 |