Atkin-Lehner |
2- 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
18060b |
Isogeny class |
Conductor |
18060 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
3494610000 = 24 · 33 · 54 · 7 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-421,1870] |
[a1,a2,a3,a4,a6] |
Generators |
[3:25:1] |
Generators of the group modulo torsion |
j |
516988862464/218413125 |
j-invariant |
L |
3.5437211465528 |
L(r)(E,1)/r! |
Ω |
1.2713935073264 |
Real period |
R |
0.9290910920792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72240cl1 54180u1 90300bg1 126420br1 |
Quadratic twists by: -4 -3 5 -7 |