Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
7350ce |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
-5296410918750000 = -1 · 24 · 3 · 58 · 710 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -1 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-31263,-4110219] |
[a1,a2,a3,a4,a6] |
j |
-30625/48 |
j-invariant |
L |
2.0419791346439 |
L(r)(E,1)/r! |
Ω |
0.17016492788699 |
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 |
58800jz1 22050cs1 7350ba1 7350ct1 |
Quadratic twists by: -4 -3 5 -7 |