Atkin-Lehner |
3- 5+ 23+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
115575f |
Isogeny class |
Conductor |
115575 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
158976 |
Modular degree for the optimal curve |
Δ |
-470896584075 = -1 · 312 · 52 · 232 · 67 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 0 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11228,458187] |
[a1,a2,a3,a4,a6] |
Generators |
[61:-65:1] [-77:970:1] |
Generators of the group modulo torsion |
j |
-6261715517050345/18835863363 |
j-invariant |
L |
9.3161302364025 |
L(r)(E,1)/r! |
Ω |
0.93849303202518 |
Real period |
R |
0.41361212081747 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999957515 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115575d1 |
Quadratic twists by: 5 |