Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5850k |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-37307158200 = -1 · 23 · 315 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,108,9256] |
[a1,a2,a3,a4,a6] |
j |
7604375/2047032 |
j-invariant |
L |
1.7889875653914 |
L(r)(E,1)/r! |
Ω |
0.89449378269568 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46800dl1 1950o1 5850cc1 76050fa1 |
Quadratic twists by: -4 -3 5 13 |