Atkin-Lehner |
2- 3- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
69090bz |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
544310451562500 = 22 · 32 · 58 · 77 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3095870,-2096889600] |
[a1,a2,a3,a4,a6] |
j |
27892255066997298769/4626562500 |
j-invariant |
L |
7.2842333895344 |
L(r)(E,1)/r! |
Ω |
0.11381614697742 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870n4 |
Quadratic twists by: -7 |