Atkin-Lehner |
2+ 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
42480m |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
-116423275881600000 = -1 · 210 · 311 · 55 · 593 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -6 -3 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-102747,20741114] |
[a1,a2,a3,a4,a6] |
Generators |
[-362:3240:1] [-77:5310:1] |
Generators of the group modulo torsion |
j |
-160695486160996/155959678125 |
j-invariant |
L |
9.1186402323712 |
L(r)(E,1)/r! |
Ω |
0.30281257143556 |
Real period |
R |
0.25094291245192 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21240l1 14160a1 |
Quadratic twists by: -4 -3 |