Atkin-Lehner |
7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
26299g |
Isogeny class |
Conductor |
26299 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
89640 |
Modular degree for the optimal curve |
Δ |
-10636691589979 = -1 · 73 · 135 · 174 |
Discriminant |
Eigenvalues |
-2 2 -1 7- 0 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-11656,-505282] |
[a1,a2,a3,a4,a6] |
Generators |
[687:17755:1] |
Generators of the group modulo torsion |
j |
-2097074704384/127353499 |
j-invariant |
L |
3.6552647200577 |
L(r)(E,1)/r! |
Ω |
0.22893076062902 |
Real period |
R |
5.322227428087 |
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 |
26299a1 |
Quadratic twists by: 17 |