Atkin-Lehner |
2- 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
90048bo |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
15974266281394176 = 222 · 33 · 7 · 674 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1038177,406759455] |
[a1,a2,a3,a4,a6] |
Generators |
[75745:91332:125] |
Generators of the group modulo torsion |
j |
472061321777762137/60936989904 |
j-invariant |
L |
8.68126454964 |
L(r)(E,1)/r! |
Ω |
0.37759984797224 |
Real period |
R |
7.6635487663203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002729 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90048p4 22512n4 |
Quadratic twists by: -4 8 |