Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
26208bg |
Isogeny class |
Conductor |
26208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28160 |
Modular degree for the optimal curve |
Δ |
-244653986304 = -1 · 29 · 37 · 75 · 13 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -3 13+ -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1011,-26822] |
[a1,a2,a3,a4,a6] |
Generators |
[182:2412:1] |
Generators of the group modulo torsion |
j |
-306182024/655473 |
j-invariant |
L |
6.2578701184572 |
L(r)(E,1)/r! |
Ω |
0.39674350469863 |
Real period |
R |
3.9432719404005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26208r1 52416cg1 8736f1 |
Quadratic twists by: -4 8 -3 |