Atkin-Lehner |
2- 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
19950cd |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
14139562500 = 22 · 35 · 56 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2288,40781] |
[a1,a2,a3,a4,a6] |
j |
84778086457/904932 |
j-invariant |
L |
2.5152378115971 |
L(r)(E,1)/r! |
Ω |
1.2576189057985 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59850ck1 798c1 |
Quadratic twists by: -3 5 |