Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70785l |
Isogeny class |
Conductor |
70785 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2.9673455094002E+25 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 11- 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-68963670,-342444027029] |
[a1,a2,a3,a4,a6] |
Generators |
[8985602624:1602227812043:262144] |
Generators of the group modulo torsion |
j |
-28086729490688202361/22976531982421875 |
j-invariant |
L |
5.032518198728 |
L(r)(E,1)/r! |
Ω |
0.025313502159361 |
Real period |
R |
12.425478916666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23595f3 6435h4 |
Quadratic twists by: -3 -11 |