Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450bh |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
984960 |
Modular degree for the optimal curve |
Δ |
-1483310580203125000 = -1 · 23 · 59 · 377 |
Discriminant |
Eigenvalues |
2- 0 5- -1 -3 -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-331555,94067947] |
[a1,a2,a3,a4,a6] |
Generators |
[4863:-173570:27] |
Generators of the group modulo torsion |
j |
-804357/296 |
j-invariant |
L |
7.051035842359 |
L(r)(E,1)/r! |
Ω |
0.25288642252624 |
Real period |
R |
1.1617593269838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68450p1 1850e1 |
Quadratic twists by: 5 37 |