Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400di |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-3567543750000 = -1 · 24 · 39 · 58 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -1 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-620325,-188051625] |
[a1,a2,a3,a4,a6] |
Generators |
[1756487954667222:4997603542658679:1923742337453] |
Generators of the group modulo torsion |
j |
-5364759575808/725 |
j-invariant |
L |
8.311822197668 |
L(r)(E,1)/r! |
Ω |
0.085057915326029 |
Real period |
R |
24.42989040411 |
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 |
26100j1 104400cx1 20880bj1 |
Quadratic twists by: -4 -3 5 |