Atkin-Lehner |
11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
101761j |
Isogeny class |
Conductor |
101761 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1330560 |
Modular degree for the optimal curve |
Δ |
1755364663080149 = 112 · 299 |
Discriminant |
Eigenvalues |
-2 -2 -2 -1 11- -7 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-440964,112542612] |
[a1,a2,a3,a4,a6] |
Generators |
[-619:12194:1] [3098:377:8] |
Generators of the group modulo torsion |
j |
131753070592/24389 |
j-invariant |
L |
2.717642834881 |
L(r)(E,1)/r! |
Ω |
0.457105179671 |
Real period |
R |
1.4863334288677 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999995094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101761f1 3509e1 |
Quadratic twists by: -11 29 |