Atkin-Lehner |
2+ 3- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
66576l |
Isogeny class |
Conductor |
66576 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1036853993392128 = -1 · 211 · 36 · 194 · 732 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 0 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,22320,875124] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:162:1] [-18:684:1] |
Generators of the group modulo torsion |
j |
600422381624158/506276363961 |
j-invariant |
L |
9.1504116680477 |
L(r)(E,1)/r! |
Ω |
0.31905745307189 |
Real period |
R |
0.59748980812535 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33288i2 |
Quadratic twists by: -4 |