Atkin-Lehner |
2- 3+ 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
64752h |
Isogeny class |
Conductor |
64752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2353864704 = 213 · 3 · 19 · 712 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -4 2 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9704,371184] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:710:1] [61:50:1] |
Generators of the group modulo torsion |
j |
24675211345897/574674 |
j-invariant |
L |
6.4244572890421 |
L(r)(E,1)/r! |
Ω |
1.3454892990882 |
Real period |
R |
4.774811136298 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999778 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8094b2 |
Quadratic twists by: -4 |