Atkin-Lehner |
2- 3- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
74340q |
Isogeny class |
Conductor |
74340 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
11937100896000 = 28 · 37 · 53 · 72 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-881823,-318727978] |
[a1,a2,a3,a4,a6] |
Generators |
[557128:1630181:512] |
Generators of the group modulo torsion |
j |
406350206368585936/63963375 |
j-invariant |
L |
6.5947814504516 |
L(r)(E,1)/r! |
Ω |
0.15579524670611 |
Real period |
R |
10.582449707448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24780f2 |
Quadratic twists by: -3 |