Atkin-Lehner |
2- 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
90048bq |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
5601705984 = 214 · 36 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 6 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9969,379791] |
[a1,a2,a3,a4,a6] |
Generators |
[45:156:1] |
Generators of the group modulo torsion |
j |
6688090245328/341901 |
j-invariant |
L |
7.0897084729297 |
L(r)(E,1)/r! |
Ω |
1.2766746127243 |
Real period |
R |
1.8510872997264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999836921 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90048r2 22512d2 |
Quadratic twists by: -4 8 |