Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
1554d |
Isogeny class |
Conductor |
1554 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
-76146 = -1 · 2 · 3 · 73 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -4 -6 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-633,6070] |
[a1,a2,a3,a4,a6] |
Generators |
[16:2:1] |
Generators of the group modulo torsion |
j |
-27986475935881/76146 |
j-invariant |
L |
2.5503052126026 |
L(r)(E,1)/r! |
Ω |
2.9881973458984 |
Real period |
R |
0.2844864776756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12432x1 49728ba1 4662m1 38850ca1 |
Quadratic twists by: -4 8 -3 5 |