Atkin-Lehner |
5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
6475f |
Isogeny class |
Conductor |
6475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-1133125 = -1 · 54 · 72 · 37 |
Discriminant |
Eigenvalues |
1 -2 5- 7+ -2 -4 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,24,23] |
[a1,a2,a3,a4,a6] |
Generators |
[1:6:1] |
Generators of the group modulo torsion |
j |
2595575/1813 |
j-invariant |
L |
2.8130991477468 |
L(r)(E,1)/r! |
Ω |
1.7388304441954 |
Real period |
R |
0.80890553680423 |
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 |
103600cg1 58275be1 6475c1 45325t1 |
Quadratic twists by: -4 -3 5 -7 |