Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
36360n |
Isogeny class |
Conductor |
36360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5888 |
Modular degree for the optimal curve |
Δ |
-17670960 = -1 · 24 · 37 · 5 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -1 0 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,42,173] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:9:1] |
Generators of the group modulo torsion |
j |
702464/1515 |
j-invariant |
L |
5.441289221735 |
L(r)(E,1)/r! |
Ω |
1.5160753645169 |
Real period |
R |
0.44863281116205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72720f1 12120f1 |
Quadratic twists by: -4 -3 |