Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200fg |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
12135225600000000 = 214 · 38 · 58 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57675,-575750] |
[a1,a2,a3,a4,a6] |
j |
454756609/260100 |
j-invariant |
L |
2.6706477942994 |
L(r)(E,1)/r! |
Ω |
0.33383097420175 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7650cb2 20400cy2 12240bw2 |
Quadratic twists by: -4 -3 5 |