Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650i |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
302774062500 = 22 · 32 · 57 · 72 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-51375,4460625] |
[a1,a2,a3,a4,a6] |
Generators |
[105:435:1] |
Generators of the group modulo torsion |
j |
959781554388721/19377540 |
j-invariant |
L |
3.3436916185845 |
L(r)(E,1)/r! |
Ω |
0.89422739940443 |
Real period |
R |
0.31159967632501 |
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 |
109200fj1 40950ep1 2730bb1 95550dt1 |
Quadratic twists by: -4 -3 5 -7 |