Atkin-Lehner |
2- 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19950cg |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
58240 |
Modular degree for the optimal curve |
Δ |
-2544539508000 = -1 · 25 · 314 · 53 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -1 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36908,-2745619] |
[a1,a2,a3,a4,a6] |
j |
-44481146267173013/20356316064 |
j-invariant |
L |
3.4443513299532 |
L(r)(E,1)/r! |
Ω |
0.17221756649766 |
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 |
59850cu1 19950bl1 |
Quadratic twists by: -3 5 |