Atkin-Lehner |
5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
13325g |
Isogeny class |
Conductor |
13325 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3528 |
Modular degree for the optimal curve |
Δ |
2251925 = 52 · 133 · 41 |
Discriminant |
Eigenvalues |
-2 0 5+ -5 -3 13- 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-35,-34] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:6:1] |
Generators of the group modulo torsion |
j |
189665280/90077 |
j-invariant |
L |
1.1887757593509 |
L(r)(E,1)/r! |
Ω |
2.0565904053031 |
Real period |
R |
0.19267744584848 |
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 |
119925bh1 13325i1 |
Quadratic twists by: -3 5 |