Atkin-Lehner |
2+ 3+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
119616g |
Isogeny class |
Conductor |
119616 |
Conductor |
∏ cp |
4 |
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 |
[-21529147672094:-75114271:13447314152] |
Generators of the group modulo torsion |
j |
786679434651604517823808/5769603 |
j-invariant |
L |
5.6378530359504 |
L(r)(E,1)/r! |
Ω |
0.090652207271753 |
Real period |
R |
15.548030136814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000237188 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119616m1 59808d4 |
Quadratic twists by: -4 8 |