Atkin-Lehner |
2+ 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650f |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
164640 |
Modular degree for the optimal curve |
Δ |
-46828302066000000 = -1 · 27 · 37 · 56 · 77 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 5 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,17850,-10363500] |
[a1,a2,a3,a4,a6] |
j |
40251338884511/2997011332224 |
j-invariant |
L |
1.5361218297869 |
L(r)(E,1)/r! |
Ω |
0.17068020330966 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109200gm1 40950ea1 546f1 95550ee1 |
Quadratic twists by: -4 -3 5 -7 |