Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984y |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4.1007131908118E+24 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-639234651,-6219927232090] |
[a1,a2,a3,a4,a6] |
Generators |
[20006900937025767260275344618274:-6461964456459771897232793166896676:180880912451145269720652373] |
Generators of the group modulo torsion |
j |
21843440425782779332/3100814593569 |
j-invariant |
L |
5.6870252730468 |
L(r)(E,1)/r! |
Ω |
0.030025356794579 |
Real period |
R |
47.351854235441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997025 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
121968cf2 20328p2 5544t2 |
Quadratic twists by: -4 -3 -11 |