Atkin-Lehner |
2+ 3+ 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
70080q |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.1086875E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-301301185,-2572579051583] |
[a1,a2,a3,a4,a6] |
Generators |
[638859546945234237:82062419785068493940:21575501190719] |
Generators of the group modulo torsion |
j |
-11539481913826720941520369/4229307174682617187500 |
j-invariant |
L |
6.4856472231488 |
L(r)(E,1)/r! |
Ω |
0.017792343629128 |
Real period |
R |
30.376582942323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70080cr3 2190o4 |
Quadratic twists by: -4 8 |