Atkin-Lehner |
2- 3+ 5+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
23790k |
Isogeny class |
Conductor |
23790 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-6278428416000000 = -1 · 214 · 3 · 56 · 133 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-325196,71344493] |
[a1,a2,a3,a4,a6] |
Generators |
[317:-647:1] |
Generators of the group modulo torsion |
j |
-3803289466723322804929/6278428416000000 |
j-invariant |
L |
5.8533412075255 |
L(r)(E,1)/r! |
Ω |
0.42364040070366 |
Real period |
R |
0.98691201274262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71370k1 118950y1 |
Quadratic twists by: -3 5 |