Atkin-Lehner |
2- 3- 5- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
122670cl |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
-804837870 = -1 · 2 · 310 · 5 · 29 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 0 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,193,-939] |
[a1,a2,a3,a4,a6] |
j |
1095912791/1104030 |
j-invariant |
L |
1.7290141151874 |
L(r)(E,1)/r! |
Ω |
0.86450707369658 |
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 |
40890d1 |
Quadratic twists by: -3 |