Atkin-Lehner |
3+ 11+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
26367a |
Isogeny class |
Conductor |
26367 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
33253802529395283 = 35 · 118 · 172 · 472 |
Discriminant |
Eigenvalues |
-1 3+ 0 -4 11+ -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-360208,82596590] |
[a1,a2,a3,a4,a6] |
Generators |
[313:642:1] |
Generators of the group modulo torsion |
j |
5168730036527170746625/33253802529395283 |
j-invariant |
L |
1.5384493468575 |
L(r)(E,1)/r! |
Ω |
0.370755094051 |
Real period |
R |
2.0747514620068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79101j2 |
Quadratic twists by: -3 |