Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050bb |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
-14343436800 = -1 · 29 · 33 · 52 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,515,-3395] |
[a1,a2,a3,a4,a6] |
Generators |
[9:41:1] |
Generators of the group modulo torsion |
j |
4978536695/4741632 |
j-invariant |
L |
4.1239740297964 |
L(r)(E,1)/r! |
Ω |
0.68315795284552 |
Real period |
R |
2.0122110898795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007835 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050is1 127050fj1 |
Quadratic twists by: 5 -11 |