Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
41760t |
Isogeny class |
Conductor |
41760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5085205401600 = -1 · 212 · 310 · 52 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2148,101504] |
[a1,a2,a3,a4,a6] |
j |
367061696/1703025 |
j-invariant |
L |
2.1998523896814 |
L(r)(E,1)/r! |
Ω |
0.54996309741985 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41760s2 83520eo1 13920q2 |
Quadratic twists by: -4 8 -3 |