Atkin-Lehner |
2- 3- 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
116820g |
Isogeny class |
Conductor |
116820 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-904418103600 = -1 · 24 · 310 · 52 · 11 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-768,-46483] |
[a1,a2,a3,a4,a6] |
Generators |
[1771:74520:1] |
Generators of the group modulo torsion |
j |
-4294967296/77539275 |
j-invariant |
L |
6.8451919252254 |
L(r)(E,1)/r! |
Ω |
0.38107119664661 |
Real period |
R |
4.4907565753587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958263 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38940j1 |
Quadratic twists by: -3 |