Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504bh |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.6695624023826E+22 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11- 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-126179808,-545449226496] |
[a1,a2,a3,a4,a6] |
Generators |
[790318731836550:-60430475659192694:49633171875] |
Generators of the group modulo torsion |
j |
30618029936661765625/3678951124992 |
j-invariant |
L |
3.5582488355466 |
L(r)(E,1)/r! |
Ω |
0.045045894988776 |
Real period |
R |
19.747908408016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005522 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9438z4 6864q4 |
Quadratic twists by: -4 -11 |