Atkin-Lehner |
2- 3- 5+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
25530be |
Isogeny class |
Conductor |
25530 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-92517622087680 = -1 · 228 · 34 · 5 · 23 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1719,462105] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:675:1] |
Generators of the group modulo torsion |
j |
561740261198831/92517622087680 |
j-invariant |
L |
9.3054941896961 |
L(r)(E,1)/r! |
Ω |
0.46422151377035 |
Real period |
R |
0.71590623946792 |
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 |
76590ba1 127650j1 |
Quadratic twists by: -3 5 |