Atkin-Lehner |
2+ 3+ 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
19314d |
Isogeny class |
Conductor |
19314 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1562869566 = 2 · 39 · 29 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 0 -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8331,294767] |
[a1,a2,a3,a4,a6] |
Generators |
[59:48:1] |
Generators of the group modulo torsion |
j |
3249025693731/79402 |
j-invariant |
L |
4.2425481813094 |
L(r)(E,1)/r! |
Ω |
1.39396909914 |
Real period |
R |
3.043502315745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19314i2 |
Quadratic twists by: -3 |