Atkin-Lehner |
2+ 5+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
56240c |
Isogeny class |
Conductor |
56240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
68096 |
Modular degree for the optimal curve |
Δ |
-1331763200 = -1 · 211 · 52 · 19 · 372 |
Discriminant |
Eigenvalues |
2+ -3 5+ -1 -2 -3 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4363,110938] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-74:1] [-6:370:1] |
Generators of the group modulo torsion |
j |
-4484865247938/650275 |
j-invariant |
L |
5.5929471462834 |
L(r)(E,1)/r! |
Ω |
1.4721728182199 |
Real period |
R |
0.4748888069609 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28120d1 |
Quadratic twists by: -4 |