Atkin-Lehner |
3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6525a |
Isogeny class |
Conductor |
6525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-44594296875 = -1 · 39 · 57 · 29 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 2 -3 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,675,-7594] |
[a1,a2,a3,a4,a6] |
Generators |
[45:337:1] |
Generators of the group modulo torsion |
j |
110592/145 |
j-invariant |
L |
2.223457377581 |
L(r)(E,1)/r! |
Ω |
0.60729951748957 |
Real period |
R |
0.45765254901986 |
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 |
104400cw1 6525b1 1305a1 |
Quadratic twists by: -4 -3 5 |