Atkin-Lehner |
2+ 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
26550i |
Isogeny class |
Conductor |
26550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-3266147812500 = -1 · 22 · 311 · 57 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 2 -3 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3708,-3884] |
[a1,a2,a3,a4,a6] |
Generators |
[89:968:1] [8:158:1] |
Generators of the group modulo torsion |
j |
494913671/286740 |
j-invariant |
L |
6.0551082977312 |
L(r)(E,1)/r! |
Ω |
0.47303119903341 |
Real period |
R |
0.80004082052415 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8850v1 5310o1 |
Quadratic twists by: -3 5 |