Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
5850n |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
106616250000 = 24 · 38 · 57 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3042,-61884] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:18:1] |
Generators of the group modulo torsion |
j |
273359449/9360 |
j-invariant |
L |
2.9056816601966 |
L(r)(E,1)/r! |
Ω |
0.64419193793813 |
Real period |
R |
2.2552918540838 |
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 |
46800dq1 1950w1 1170m1 76050ec1 |
Quadratic twists by: -4 -3 5 13 |