Atkin-Lehner |
3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
127449o |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
925344 |
Modular degree for the optimal curve |
Δ |
-22158653953757643 = -1 · 33 · 76 · 178 |
Discriminant |
Eigenvalues |
1 3+ -2 7- -6 -1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-45138,8068451] |
[a1,a2,a3,a4,a6] |
Generators |
[130:2029:1] |
Generators of the group modulo torsion |
j |
-459 |
j-invariant |
L |
3.4748458893343 |
L(r)(E,1)/r! |
Ω |
0.33876923943144 |
Real period |
R |
5.1286324579222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000158703 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127449p1 2601e1 127449i1 |
Quadratic twists by: -3 -7 17 |