Atkin-Lehner |
2- 7+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
24388a |
Isogeny class |
Conductor |
24388 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3312 |
Modular degree for the optimal curve |
Δ |
-76480768 = -1 · 28 · 73 · 13 · 67 |
Discriminant |
Eigenvalues |
2- 0 0 7+ 0 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25,-418] |
[a1,a2,a3,a4,a6] |
Generators |
[7:10:1] |
Generators of the group modulo torsion |
j |
6750000/298753 |
j-invariant |
L |
4.4979539748169 |
L(r)(E,1)/r! |
Ω |
0.92788985845263 |
Real period |
R |
1.6158361662729 |
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 |
97552k1 |
Quadratic twists by: -4 |