Atkin-Lehner |
2- 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
10650x |
Isogeny class |
Conductor |
10650 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
45600 |
Modular degree for the optimal curve |
Δ |
-54951660748800 = -1 · 219 · 310 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 -1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-31783,-2223139] |
[a1,a2,a3,a4,a6] |
Generators |
[299:3738:1] |
Generators of the group modulo torsion |
j |
-142026446510183065/2198066429952 |
j-invariant |
L |
4.736194586119 |
L(r)(E,1)/r! |
Ω |
0.17861641936386 |
Real period |
R |
0.69778971092693 |
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 |
85200cy1 31950u1 10650p1 |
Quadratic twists by: -4 -3 5 |