Atkin-Lehner |
2+ 3- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
119616m |
Isogeny class |
Conductor |
119616 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2009088 |
Modular degree for the optimal curve |
Δ |
369254592 = 26 · 33 · 74 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7692804,8209931202] |
[a1,a2,a3,a4,a6] |
Generators |
[3201:128040:1] |
Generators of the group modulo torsion |
j |
786679434651604517823808/5769603 |
j-invariant |
L |
5.8243432023959 |
L(r)(E,1)/r! |
Ω |
0.5692322386434 |
Real period |
R |
6.8212851282545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000165554 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119616g1 59808f4 |
Quadratic twists by: -4 8 |