Atkin-Lehner |
2- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
590d |
Isogeny class |
Conductor |
590 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
-18880000 = -1 · 29 · 54 · 59 |
Discriminant |
Eigenvalues |
2- -2 5- -3 -5 1 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-350,2500] |
[a1,a2,a3,a4,a6] |
Generators |
[10:0:1] |
Generators of the group modulo torsion |
j |
-4742478770401/18880000 |
j-invariant |
L |
2.1864656913513 |
L(r)(E,1)/r! |
Ω |
2.1842665685451 |
Real period |
R |
0.027805744485457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4720f1 18880d1 5310f1 2950e1 |
Quadratic twists by: -4 8 -3 5 |