Atkin-Lehner |
2+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
41650bc |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-1200519808250 = -1 · 2 · 53 · 710 · 17 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- -2 5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2231,-66692] |
[a1,a2,a3,a4,a6] |
j |
-83453453/81634 |
j-invariant |
L |
1.336341058651 |
L(r)(E,1)/r! |
Ω |
0.33408526464444 |
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 |
41650cl1 5950i1 |
Quadratic twists by: 5 -7 |