Atkin-Lehner |
2- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59584cm |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-716223161931418624 = -1 · 210 · 710 · 195 |
Discriminant |
Eigenvalues |
2- 2 -1 7- -1 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-723501,240583757] |
[a1,a2,a3,a4,a6] |
Generators |
[172614057:11785939192:35937] |
Generators of the group modulo torsion |
j |
-144797599744/2476099 |
j-invariant |
L |
8.4551135342705 |
L(r)(E,1)/r! |
Ω |
0.28600718824324 |
Real period |
R |
14.781295509241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998692 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584bl1 14896u1 59584cb1 |
Quadratic twists by: -4 8 -7 |