Atkin-Lehner |
2+ 5- 23+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
116150j |
Isogeny class |
Conductor |
116150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
259840 |
Modular degree for the optimal curve |
Δ |
-74336000000000 = -1 · 214 · 59 · 23 · 101 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 1 2 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10076,-569702] |
[a1,a2,a3,a4,a6] |
Generators |
[2161:99271:1] |
Generators of the group modulo torsion |
j |
-57915683909/38060032 |
j-invariant |
L |
4.8887399450939 |
L(r)(E,1)/r! |
Ω |
0.23144254966854 |
Real period |
R |
5.2807273059628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999548119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116150bd1 |
Quadratic twists by: 5 |