Atkin-Lehner |
2- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
26026m |
Isogeny class |
Conductor |
26026 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-3096469376 = -1 · 27 · 7 · 112 · 134 |
Discriminant |
Eigenvalues |
2- -3 -3 7+ 11- 13+ -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,306,1629] |
[a1,a2,a3,a4,a6] |
Generators |
[23:131:1] |
Generators of the group modulo torsion |
j |
111287007/108416 |
j-invariant |
L |
2.9246841194225 |
L(r)(E,1)/r! |
Ω |
0.93425010824734 |
Real period |
R |
0.074536075042436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26026f1 |
Quadratic twists by: 13 |