Atkin-Lehner |
3- 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
114975t |
Isogeny class |
Conductor |
114975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-65190825 = -1 · 36 · 52 · 72 · 73 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 5 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,48,-379] |
[a1,a2,a3,a4,a6] |
Generators |
[20:81:1] |
Generators of the group modulo torsion |
j |
663255/3577 |
j-invariant |
L |
8.8020878475375 |
L(r)(E,1)/r! |
Ω |
0.98412148730867 |
Real period |
R |
2.2360267400223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003779 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12775c1 114975bs1 |
Quadratic twists by: -3 5 |