Atkin-Lehner |
2- 5+ 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
63550v |
Isogeny class |
Conductor |
63550 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
394010000000000 = 210 · 510 · 312 · 41 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 2 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27188,1425781] |
[a1,a2,a3,a4,a6] |
Generators |
[305:4497:1] |
Generators of the group modulo torsion |
j |
142244822676601/25216640000 |
j-invariant |
L |
13.979602687882 |
L(r)(E,1)/r! |
Ω |
0.50835959419967 |
Real period |
R |
1.3749718552807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000109 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12710j1 |
Quadratic twists by: 5 |