Atkin-Lehner |
2+ 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
60192j |
Isogeny class |
Conductor |
60192 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2301086380467561984 = 29 · 37 · 112 · 198 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-425811,-78174970] |
[a1,a2,a3,a4,a6] |
j |
22875829556351624/6165033383883 |
j-invariant |
L |
1.5253010351002 |
L(r)(E,1)/r! |
Ω |
0.19066262901003 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60192q3 120384r4 20064q2 |
Quadratic twists by: -4 8 -3 |