Atkin-Lehner |
2- 3- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
74340j |
Isogeny class |
Conductor |
74340 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
2281896207279360 = 28 · 311 · 5 · 72 · 593 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -5 -5 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-194808,33014788] |
[a1,a2,a3,a4,a6] |
Generators |
[-352:7614:1] [-124:7434:1] |
Generators of the group modulo torsion |
j |
4381033575325696/12227238765 |
j-invariant |
L |
9.1957937410802 |
L(r)(E,1)/r! |
Ω |
0.46255264681322 |
Real period |
R |
0.27611853136112 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999794 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24780m1 |
Quadratic twists by: -3 |