Atkin-Lehner |
7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26299i |
Isogeny class |
Conductor |
26299 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3384 |
Modular degree for the optimal curve |
Δ |
-26299 = -1 · 7 · 13 · 172 |
Discriminant |
Eigenvalues |
-2 2 3 7- -4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,6,-8] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-1:8] |
Generators of the group modulo torsion |
j |
69632/91 |
j-invariant |
L |
4.8901490753176 |
L(r)(E,1)/r! |
Ω |
2.0072604046807 |
Real period |
R |
2.4362305278948 |
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 |
26299d1 |
Quadratic twists by: 17 |