Atkin-Lehner |
2+ 3- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
127512j |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-1590584688 = -1 · 24 · 36 · 72 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- -1 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,249,-1181] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-77:1] |
Generators of the group modulo torsion |
j |
146377472/136367 |
j-invariant |
L |
4.809322083316 |
L(r)(E,1)/r! |
Ω |
0.82211752224812 |
Real period |
R |
0.73124005471279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999744736 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14168i1 |
Quadratic twists by: -3 |