Atkin-Lehner |
2+ 5- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
43450l |
Isogeny class |
Conductor |
43450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
684000 |
Modular degree for the optimal curve |
Δ |
-329357489274880000 = -1 · 219 · 54 · 115 · 792 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 11+ -5 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,162574,-11203452] |
[a1,a2,a3,a4,a6] |
Generators |
[1226:44456:1] |
Generators of the group modulo torsion |
j |
760327692979705175/526971982839808 |
j-invariant |
L |
1.7532067393978 |
L(r)(E,1)/r! |
Ω |
0.17221399620114 |
Real period |
R |
5.0901981780661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43450q1 |
Quadratic twists by: 5 |