Atkin-Lehner |
2- 5+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
58520j |
Isogeny class |
Conductor |
58520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-2059904000 = -1 · 210 · 53 · 7 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 11- 2 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-736,-8240] |
[a1,a2,a3,a4,a6] |
Generators |
[360:6820:1] |
Generators of the group modulo torsion |
j |
-43116861316/2011625 |
j-invariant |
L |
6.7475751952455 |
L(r)(E,1)/r! |
Ω |
0.45700358568442 |
Real period |
R |
3.6912047338093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997939 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117040h1 |
Quadratic twists by: -4 |