Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5850u |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-46200375000000 = -1 · 26 · 37 · 59 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8883,53541] |
[a1,a2,a3,a4,a6] |
Generators |
[18:459:1] |
Generators of the group modulo torsion |
j |
54439939/32448 |
j-invariant |
L |
3.0198522518351 |
L(r)(E,1)/r! |
Ω |
0.3898065214304 |
Real period |
R |
0.968381775898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46800et1 1950ba1 5850cb1 76050fx1 |
Quadratic twists by: -4 -3 5 13 |