Atkin-Lehner |
2- 3- 5- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
58410bk |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
12402583142400 = 220 · 36 · 52 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15482,725689] |
[a1,a2,a3,a4,a6] |
Generators |
[49:263:1] |
Generators of the group modulo torsion |
j |
562925697426009/17013145600 |
j-invariant |
L |
9.409661696012 |
L(r)(E,1)/r! |
Ω |
0.70865071131137 |
Real period |
R |
0.33195696926622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000214 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6490c1 |
Quadratic twists by: -3 |