Atkin-Lehner |
2+ 3+ 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
17094h |
Isogeny class |
Conductor |
17094 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
5867083500432 = 24 · 3 · 72 · 113 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5901,-132339] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:211:1] [-25:31:1] |
Generators of the group modulo torsion |
j |
22730843186467417/5867083500432 |
j-invariant |
L |
4.3947856916821 |
L(r)(E,1)/r! |
Ω |
0.55509882446131 |
Real period |
R |
0.65976025319251 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51282bn1 119658bu1 |
Quadratic twists by: -3 -7 |