Atkin-Lehner |
2+ 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920bi |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-2253484800 = -1 · 28 · 37 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 3 0 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,2284] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:45:1] |
Generators of the group modulo torsion |
j |
-1024/12075 |
j-invariant |
L |
8.399164532141 |
L(r)(E,1)/r! |
Ω |
1.1673843385966 |
Real period |
R |
0.89935724798384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57960ba1 38640r1 |
Quadratic twists by: -4 -3 |