Atkin-Lehner |
2- 3- 7+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
26418p |
Isogeny class |
Conductor |
26418 |
Conductor |
∏ cp |
1152 |
Product of Tamagawa factors cp |
Δ |
16729489549430784 = 212 · 36 · 72 · 174 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-63949,127889] |
[a1,a2,a3,a4,a6] |
Generators |
[-220:1997:1] |
Generators of the group modulo torsion |
j |
28921806049251575377/16729489549430784 |
j-invariant |
L |
8.7340003337458 |
L(r)(E,1)/r! |
Ω |
0.33071362313722 |
Real period |
R |
0.36679940499633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
79254j2 |
Quadratic twists by: -3 |