Atkin-Lehner |
2- 5- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
58520v |
Isogeny class |
Conductor |
58520 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-13153988710016000 = -1 · 210 · 53 · 73 · 112 · 195 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 11- -2 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,58240,-1068592] |
[a1,a2,a3,a4,a6] |
Generators |
[56:1540:1] |
Generators of the group modulo torsion |
j |
21334398229347836/12845692099625 |
j-invariant |
L |
8.0950961637201 |
L(r)(E,1)/r! |
Ω |
0.2317995878121 |
Real period |
R |
0.97007843905705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000299 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117040l1 |
Quadratic twists by: -4 |