Atkin-Lehner |
3+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
5325b |
Isogeny class |
Conductor |
5325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-5907421875 = -1 · 3 · 58 · 712 |
Discriminant |
Eigenvalues |
0 3+ 5- -1 6 -5 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-83,-3682] |
[a1,a2,a3,a4,a6] |
j |
-163840/15123 |
j-invariant |
L |
1.1910285382953 |
L(r)(E,1)/r! |
Ω |
0.59551426914765 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85200dx1 15975v1 5325h1 |
Quadratic twists by: -4 -3 5 |