Atkin-Lehner |
2+ 17+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
59534c |
Isogeny class |
Conductor |
59534 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-9944678428 = -1 · 22 · 176 · 103 |
Discriminant |
Eigenvalues |
2+ -2 -4 0 6 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,427,-3348] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-157:1] [57:426:1] |
Generators of the group modulo torsion |
j |
357911/412 |
j-invariant |
L |
4.3255848880082 |
L(r)(E,1)/r! |
Ω |
0.69416496362753 |
Real period |
R |
3.1156750301848 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
206a1 |
Quadratic twists by: 17 |