Atkin-Lehner |
2- 3+ 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
26226o |
Isogeny class |
Conductor |
26226 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
4160 |
Modular degree for the optimal curve |
Δ |
1258848 = 25 · 33 · 31 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 0 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-89,-295] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:4:1] |
Generators of the group modulo torsion |
j |
2857243059/46624 |
j-invariant |
L |
9.1305614439877 |
L(r)(E,1)/r! |
Ω |
1.5572689253603 |
Real period |
R |
0.58631886216282 |
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 |
26226c1 |
Quadratic twists by: -3 |