Atkin-Lehner |
2+ 3- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
53664f |
Isogeny class |
Conductor |
53664 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-3.6600642473568E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1738808,-2773141048] |
[a1,a2,a3,a4,a6] |
Generators |
[152447050:4262688261:125000] |
Generators of the group modulo torsion |
j |
1135555565939365431736/7148562983118668241 |
j-invariant |
L |
6.6452359679805 |
L(r)(E,1)/r! |
Ω |
0.070026467799127 |
Real period |
R |
6.7782900796418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53664k2 107328c3 |
Quadratic twists by: -4 8 |