Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
59760bb |
Isogeny class |
Conductor |
59760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-6344618803200000000 = -1 · 228 · 36 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -5 2 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1610643,796047442] |
[a1,a2,a3,a4,a6] |
Generators |
[-903:38912:1] |
Generators of the group modulo torsion |
j |
-154751228078685841/2124800000000 |
j-invariant |
L |
6.4064648283226 |
L(r)(E,1)/r! |
Ω |
0.23881779755362 |
Real period |
R |
3.3532178576929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000607 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7470i1 6640e1 |
Quadratic twists by: -4 -3 |