Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15210bn |
Isogeny class |
Conductor |
15210 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
814040608519160100 = 22 · 310 · 52 · 1310 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-859397,303773721] |
[a1,a2,a3,a4,a6] |
j |
19948814692561/231344100 |
j-invariant |
L |
4.53757884747 |
L(r)(E,1)/r! |
Ω |
0.28359867796688 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
121680ep3 5070a3 76050bc3 1170d4 |
Quadratic twists by: -4 -3 5 13 |