Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350p |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-4574366889300000000 = -1 · 28 · 36 · 58 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 5 13+ 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3487825,2507807125] |
[a1,a2,a3,a4,a6] |
j |
-2488672890625/2426112 |
j-invariant |
L |
1.9468606832166 |
L(r)(E,1)/r! |
Ω |
0.24335758540209 |
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 |
76050fs1 25350ct1 1950r1 |
Quadratic twists by: -3 5 13 |