Atkin-Lehner |
2- 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810dh |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
838656 |
Modular degree for the optimal curve |
Δ |
1988856345000000 = 26 · 3 · 57 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5502015,-4967876775] |
[a1,a2,a3,a4,a6] |
j |
156567200830221067489/16905000000 |
j-invariant |
L |
4.140172200808 |
L(r)(E,1)/r! |
Ω |
0.098575528590774 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430u1 4830u1 |
Quadratic twists by: -3 -7 |