Atkin-Lehner |
5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
13325f |
Isogeny class |
Conductor |
13325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
41640625 = 57 · 13 · 41 |
Discriminant |
Eigenvalues |
-1 0 5+ -2 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1380,-19378] |
[a1,a2,a3,a4,a6] |
Generators |
[79:560:1] |
Generators of the group modulo torsion |
j |
18588565449/2665 |
j-invariant |
L |
2.3482423658553 |
L(r)(E,1)/r! |
Ω |
0.78335407767639 |
Real period |
R |
2.9976768268325 |
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 |
119925bb1 2665a1 |
Quadratic twists by: -3 5 |