Atkin-Lehner |
3- 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
8217h |
Isogeny class |
Conductor |
8217 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-3.5676339484115E+19 |
Discriminant |
Eigenvalues |
-1 3- -4 1 11+ 7 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-139847,-288043680] |
[a1,a2,a3,a4,a6] |
Generators |
[1460:50439:1] |
Generators of the group modulo torsion |
j |
-414908885277195049/48938737289595417 |
j-invariant |
L |
1.9275320229733 |
L(r)(E,1)/r! |
Ω |
0.091426855540673 |
Real period |
R |
3.5137961954658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2739e1 90387l1 |
Quadratic twists by: -3 -11 |