Atkin-Lehner |
2- 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
109504s |
Isogeny class |
Conductor |
109504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
224264192 = 217 · 29 · 59 |
Discriminant |
Eigenvalues |
2- -2 0 2 -3 -1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-353,2335] |
[a1,a2,a3,a4,a6] |
Generators |
[7:16:1] |
Generators of the group modulo torsion |
j |
37219250/1711 |
j-invariant |
L |
4.1408788215859 |
L(r)(E,1)/r! |
Ω |
1.7491591898558 |
Real period |
R |
0.59183847473539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999845716 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109504l1 27376b1 |
Quadratic twists by: -4 8 |