Atkin-Lehner |
2- 3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
26910bh |
Isogeny class |
Conductor |
26910 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-152997144109056000 = -1 · 216 · 37 · 53 · 135 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,132052,-3641169] |
[a1,a2,a3,a4,a6] |
Generators |
[53:1845:1] |
Generators of the group modulo torsion |
j |
349328659013909639/209872625664000 |
j-invariant |
L |
8.0452519375429 |
L(r)(E,1)/r! |
Ω |
0.18907123396604 |
Real period |
R |
0.13297322801277 |
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 |
8970d1 |
Quadratic twists by: -3 |