Atkin-Lehner |
5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
2365b |
Isogeny class |
Conductor |
2365 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
216 |
Modular degree for the optimal curve |
Δ |
286165 = 5 · 113 · 43 |
Discriminant |
Eigenvalues |
0 1 5+ 2 11- -1 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-41,85] |
[a1,a2,a3,a4,a6] |
Generators |
[10:45:8] |
Generators of the group modulo torsion |
j |
7809531904/286165 |
j-invariant |
L |
3.0345339375373 |
L(r)(E,1)/r! |
Ω |
3.0594377141705 |
Real period |
R |
2.9755800454595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
37840j1 21285h1 11825e1 115885o1 |
Quadratic twists by: -4 -3 5 -7 |