Atkin-Lehner |
2+ 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19950bh |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-224437500000 = -1 · 25 · 33 · 59 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 5 3 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,549,-22202] |
[a1,a2,a3,a4,a6] |
j |
9393931/114912 |
j-invariant |
L |
2.9309372964539 |
L(r)(E,1)/r! |
Ω |
0.48848954940898 |
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 |
59850gg1 19950cp1 |
Quadratic twists by: -3 5 |