Atkin-Lehner |
2- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
51520cg |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
807833600000000 = 218 · 58 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2693612,-1701572784] |
[a1,a2,a3,a4,a6] |
j |
8244966675515989329/3081640625 |
j-invariant |
L |
2.8283102432099 |
L(r)(E,1)/r! |
Ω |
0.11784626018529 |
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 |
51520z4 12880q3 |
Quadratic twists by: -4 8 |