Atkin-Lehner |
3- 5+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
11685c |
Isogeny class |
Conductor |
11685 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-10496452921875 = -1 · 33 · 56 · 192 · 413 |
Discriminant |
Eigenvalues |
0 3- 5+ -4 -3 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3156661,-2159741330] |
[a1,a2,a3,a4,a6] |
Generators |
[16522:92621:8] |
Generators of the group modulo torsion |
j |
-3478625559855402827382784/10496452921875 |
j-invariant |
L |
3.2646426752349 |
L(r)(E,1)/r! |
Ω |
0.056632086322801 |
Real period |
R |
4.8038766348618 |
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 |
35055h2 58425d2 |
Quadratic twists by: -3 5 |