Atkin-Lehner |
2- 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
27552t |
Isogeny class |
Conductor |
27552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-31739904 = -1 · 212 · 33 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -6 -3 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,79,-63] |
[a1,a2,a3,a4,a6] |
Generators |
[1:4:1] [7:28:1] |
Generators of the group modulo torsion |
j |
13144256/7749 |
j-invariant |
L |
6.6695277859109 |
L(r)(E,1)/r! |
Ω |
1.2211906375657 |
Real period |
R |
1.3653740007389 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27552g1 55104bn1 82656q1 |
Quadratic twists by: -4 8 -3 |