Atkin-Lehner |
2+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
66400h |
Isogeny class |
Conductor |
66400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-571787000000 = -1 · 26 · 56 · 833 |
Discriminant |
Eigenvalues |
2+ -3 5+ -3 3 0 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1525,43000] |
[a1,a2,a3,a4,a6] |
Generators |
[11:166:1] [-15:250:1] |
Generators of the group modulo torsion |
j |
-392223168/571787 |
j-invariant |
L |
6.1074463746359 |
L(r)(E,1)/r! |
Ω |
0.82750898012205 |
Real period |
R |
0.61504331285816 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999773 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66400d1 2656c1 |
Quadratic twists by: -4 5 |