Atkin-Lehner |
2+ 5+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
66950k |
Isogeny class |
Conductor |
66950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-60247715840000000 = -1 · 218 · 57 · 134 · 103 |
Discriminant |
Eigenvalues |
2+ 3 5+ 4 2 13+ -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-235192,45521216] |
[a1,a2,a3,a4,a6] |
j |
-92081494739853009/3855853813760 |
j-invariant |
L |
5.5683047702854 |
L(r)(E,1)/r! |
Ω |
0.34801904825904 |
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 |
13390f1 |
Quadratic twists by: 5 |