Atkin-Lehner |
2+ 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650d |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-131119245784800 = -1 · 25 · 37 · 52 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 13- 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15820,936880] |
[a1,a2,a3,a4,a6] |
j |
-17516447604815665/5244769831392 |
j-invariant |
L |
1.1080102642932 |
L(r)(E,1)/r! |
Ω |
0.55400513214661 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109200gj1 40950dw1 13650df1 95550dk1 |
Quadratic twists by: -4 -3 5 -7 |