Atkin-Lehner |
2- 3+ 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
48840r |
Isogeny class |
Conductor |
48840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2021947868160 = 210 · 36 · 5 · 114 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11+ 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2877160,-1877467460] |
[a1,a2,a3,a4,a6] |
j |
2572266418624258630564/1974558465 |
j-invariant |
L |
3.7094414200199 |
L(r)(E,1)/r! |
Ω |
0.1159200443598 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97680v4 |
Quadratic twists by: -4 |