Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121380h |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
7468047804823275600 = 24 · 33 · 52 · 73 · 1710 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-752941,-214111034] |
[a1,a2,a3,a4,a6] |
Generators |
[-487:6069:1] |
Generators of the group modulo torsion |
j |
122234448510976/19337199525 |
j-invariant |
L |
5.698439228221 |
L(r)(E,1)/r! |
Ω |
0.16380242410493 |
Real period |
R |
1.9326939402826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000146952 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7140n1 |
Quadratic twists by: 17 |