Atkin-Lehner |
2+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
32912l |
Isogeny class |
Conductor |
32912 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
4583040 |
Modular degree for the optimal curve |
Δ |
-2.1797126946431E+22 |
Discriminant |
Eigenvalues |
2+ 0 3 -3 11- 4 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-200449931,1092360939802] |
[a1,a2,a3,a4,a6] |
Generators |
[8233:10404:1] |
Generators of the group modulo torsion |
j |
-16768130355156114/410338673 |
j-invariant |
L |
6.1592665430892 |
L(r)(E,1)/r! |
Ω |
0.11191671603816 |
Real period |
R |
1.9655134004765 |
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 |
16456m1 32912c1 |
Quadratic twists by: -4 -11 |