Atkin-Lehner |
2- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19760o |
Isogeny class |
Conductor |
19760 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
18240 |
Modular degree for the optimal curve |
Δ |
-12875714800 = -1 · 24 · 52 · 13 · 195 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 6 13+ 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-666,8359] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:95:1] |
Generators of the group modulo torsion |
j |
-2044929535744/804732175 |
j-invariant |
L |
3.1117267910225 |
L(r)(E,1)/r! |
Ω |
1.1851893835404 |
Real period |
R |
0.26255101794173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4940a1 79040cc1 98800cf1 |
Quadratic twists by: -4 8 5 |