Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
26600q |
Isogeny class |
Conductor |
26600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
235263700000000 = 28 · 58 · 73 · 193 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- 1 -5 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-769375,-259748750] |
[a1,a2,a3,a4,a6] |
Generators |
[-506:28:1] |
Generators of the group modulo torsion |
j |
503660535570000/2352637 |
j-invariant |
L |
2.5334728097375 |
L(r)(E,1)/r! |
Ω |
0.16120004504527 |
Real period |
R |
2.6193880291472 |
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 |
53200y1 26600v1 |
Quadratic twists by: -4 5 |