Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680ch |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
4602248171136000 = 210 · 34 · 53 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-493005480,-4213168172100] |
[a1,a2,a3,a4,a6] |
Generators |
[34270:4374720:1] |
Generators of the group modulo torsion |
j |
109999511474021786850916/38201625 |
j-invariant |
L |
5.1528887615958 |
L(r)(E,1)/r! |
Ω |
0.032039565507363 |
Real period |
R |
6.7012050571369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999998773 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360cv4 9240bg3 |
Quadratic twists by: -4 -7 |