Atkin-Lehner |
2+ 11- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
91234h |
Isogeny class |
Conductor |
91234 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-2403710739786928 = -1 · 24 · 119 · 133 · 29 |
Discriminant |
Eigenvalues |
2+ 2 -2 -1 11- 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2906,2358404] |
[a1,a2,a3,a4,a6] |
Generators |
[325:5827:1] |
Generators of the group modulo torsion |
j |
-1532808577/1356832048 |
j-invariant |
L |
5.4550957332331 |
L(r)(E,1)/r! |
Ω |
0.37072058983181 |
Real period |
R |
1.8393555256252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8294c1 |
Quadratic twists by: -11 |