Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150bd |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
2.3170133213241E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-706147776,6841139869198] |
[a1,a2,a3,a4,a6] |
Generators |
[11522:478551:1] |
Generators of the group modulo torsion |
j |
52974743974734147769/3152005008998400 |
j-invariant |
L |
4.5251046529514 |
L(r)(E,1)/r! |
Ω |
0.045304343009206 |
Real period |
R |
4.9941179503866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997712 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10830u2 2850q2 |
Quadratic twists by: 5 -19 |