Atkin-Lehner |
2- 3+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390ci |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-16849294479360 = -1 · 212 · 33 · 5 · 77 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -3 4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1175,-196393] |
[a1,a2,a3,a4,a6] |
Generators |
[55:168:1] |
Generators of the group modulo torsion |
j |
1524845951/143216640 |
j-invariant |
L |
8.6264789574541 |
L(r)(E,1)/r! |
Ω |
0.32958585631721 |
Real period |
R |
1.0905705337122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7770ba1 |
Quadratic twists by: -7 |