Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70785n |
Isogeny class |
Conductor |
70785 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5.921297342235E+25 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4857958238,130326002355156] |
[a1,a2,a3,a4,a6] |
Generators |
[10398357256:1320051548181:357911] |
Generators of the group modulo torsion |
j |
9817511164935143545689841/45849355031390625 |
j-invariant |
L |
3.0450948499662 |
L(r)(E,1)/r! |
Ω |
0.055207973992137 |
Real period |
R |
13.789198506975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992915 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23595d2 6435f2 |
Quadratic twists by: -3 -11 |