Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75504dc |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-250398610944768 = -1 · 28 · 33 · 118 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 3 11- 13- 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3549,764487] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:726:1] |
Generators of the group modulo torsion |
j |
-90112/4563 |
j-invariant |
L |
7.8563204574158 |
L(r)(E,1)/r! |
Ω |
0.45934155801228 |
Real period |
R |
0.47509553619415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000779 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18876f1 75504cq1 |
Quadratic twists by: -4 -11 |