Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5850bo |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-62108467200 = -1 · 218 · 36 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 3 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1175,19887] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-162:1] |
Generators of the group modulo torsion |
j |
-9836106385/3407872 |
j-invariant |
L |
5.2609665258479 |
L(r)(E,1)/r! |
Ω |
1.0437363345901 |
Real period |
R |
0.14001424900927 |
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 |
46800dp1 650b1 5850bb1 76050bx1 |
Quadratic twists by: -4 -3 5 13 |