Atkin-Lehner |
2+ 5- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
43450i |
Isogeny class |
Conductor |
43450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7040 |
Modular degree for the optimal curve |
Δ |
1738000 = 24 · 53 · 11 · 79 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 11+ -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-97,-339] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:4:1] [39:213:1] |
Generators of the group modulo torsion |
j |
812166237/13904 |
j-invariant |
L |
6.3005593358307 |
L(r)(E,1)/r! |
Ω |
1.5221167483569 |
Real period |
R |
4.1393403906967 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43450x1 |
Quadratic twists by: 5 |