Atkin-Lehner |
2- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
36518f |
Isogeny class |
Conductor |
36518 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
10800 |
Modular degree for the optimal curve |
Δ |
9348608 = 29 · 19 · 312 |
Discriminant |
Eigenvalues |
2- -2 2 4 -4 -1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-82,-252] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:6:1] |
Generators of the group modulo torsion |
j |
63499873/9728 |
j-invariant |
L |
7.6278057911019 |
L(r)(E,1)/r! |
Ω |
1.6027511798257 |
Real period |
R |
0.52879947146965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36518b1 |
Quadratic twists by: -31 |