Atkin-Lehner |
3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
5325h |
Isogeny class |
Conductor |
5325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
-378075 = -1 · 3 · 52 · 712 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 6 5 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3,-31] |
[a1,a2,a3,a4,a6] |
j |
-163840/15123 |
j-invariant |
L |
2.6632207747705 |
L(r)(E,1)/r! |
Ω |
1.3316103873852 |
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 |
85200ca1 15975l1 5325b1 |
Quadratic twists by: -4 -3 5 |