Atkin-Lehner |
2+ 5+ 19- 103- |
Signs for the Atkin-Lehner involutions |
Class |
19570d |
Isogeny class |
Conductor |
19570 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
195700 = 22 · 52 · 19 · 103 |
Discriminant |
Eigenvalues |
2+ 1 5+ 3 2 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-29,52] |
[a1,a2,a3,a4,a6] |
Generators |
[1:4:1] |
Generators of the group modulo torsion |
j |
2565726409/195700 |
j-invariant |
L |
4.3559959669184 |
L(r)(E,1)/r! |
Ω |
3.1127039475896 |
Real period |
R |
0.34985626968247 |
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 |
97850p1 |
Quadratic twists by: 5 |