Atkin-Lehner |
5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
2365d |
Isogeny class |
Conductor |
2365 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
264 |
Modular degree for the optimal curve |
Δ |
59125 = 53 · 11 · 43 |
Discriminant |
Eigenvalues |
-2 -1 5- -4 11+ 3 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-10,-2] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2:1] |
Generators of the group modulo torsion |
j |
122023936/59125 |
j-invariant |
L |
1.2255716834132 |
L(r)(E,1)/r! |
Ω |
2.7953785194298 |
Real period |
R |
0.14614260345479 |
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 |
37840bc1 21285g1 11825b1 115885e1 |
Quadratic twists by: -4 -3 5 -7 |