Atkin-Lehner |
2+ 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
5418j |
Isogeny class |
Conductor |
5418 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
91520 |
Modular degree for the optimal curve |
Δ |
764557106710634496 = 213 · 317 · 75 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 4 -3 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-231813,-8641323] |
[a1,a2,a3,a4,a6] |
j |
1889777177808124753/1048775180673024 |
j-invariant |
L |
2.3320996430475 |
L(r)(E,1)/r! |
Ω |
0.23320996430475 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43344z1 1806n1 37926ba1 |
Quadratic twists by: -4 -3 -7 |