Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200ga |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-68528332800 = -1 · 213 · 39 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -2 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-435,-13070] |
[a1,a2,a3,a4,a6] |
j |
-121945/918 |
j-invariant |
L |
1.848145660741 |
L(r)(E,1)/r! |
Ω |
0.46203641364996 |
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 |
7650z1 20400df1 61200gy1 |
Quadratic twists by: -4 -3 5 |