Atkin-Lehner |
2- 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
47840d |
Isogeny class |
Conductor |
47840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
357120 |
Modular degree for the optimal curve |
Δ |
646796800000 = 212 · 55 · 133 · 23 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 0 13+ 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-903841,331041041] |
[a1,a2,a3,a4,a6] |
j |
19936107111282485824/157909375 |
j-invariant |
L |
1.2598345588652 |
L(r)(E,1)/r! |
Ω |
0.62991727956783 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47840a1 95680w1 |
Quadratic twists by: -4 8 |