Atkin-Lehner |
2- 3- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550cy |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
633600 |
Modular degree for the optimal curve |
Δ |
5114130000000000 = 210 · 3 · 510 · 74 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 6 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-51888,-2980608] |
[a1,a2,a3,a4,a6] |
Generators |
[-184:680:1] |
Generators of the group modulo torsion |
j |
1582067415625/523686912 |
j-invariant |
L |
13.411970796639 |
L(r)(E,1)/r! |
Ω |
0.32471778591482 |
Real period |
R |
2.065173417832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74550z1 |
Quadratic twists by: 5 |