Atkin-Lehner |
2- 3+ 5- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
119280bj |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
998400 |
Modular degree for the optimal curve |
Δ |
-75949482196350000 = -1 · 24 · 316 · 55 · 7 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-147985,25660492] |
[a1,a2,a3,a4,a6] |
Generators |
[684:15620:1] |
Generators of the group modulo torsion |
j |
-22400605344426704896/4746842637271875 |
j-invariant |
L |
5.2703344255825 |
L(r)(E,1)/r! |
Ω |
0.32939932227524 |
Real period |
R |
3.1999667530643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050792 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29820c1 |
Quadratic twists by: -4 |