Atkin-Lehner |
2- 3+ 5+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
73950ci |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
22176 |
Modular degree for the optimal curve |
Δ |
-42595200 = -1 · 27 · 33 · 52 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -1 2 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-98,-529] |
[a1,a2,a3,a4,a6] |
j |
-4166188105/1703808 |
j-invariant |
L |
5.205924327187 |
L(r)(E,1)/r! |
Ω |
0.7437034781942 |
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 |
73950br1 |
Quadratic twists by: 5 |