Atkin-Lehner |
2+ 3+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68970j |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
37160640 |
Modular degree for the optimal curve |
Δ |
-3.3998135833812E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,103255348,-2776077721776] |
[a1,a2,a3,a4,a6] |
Generators |
[635235602759:529699048285388:912673] |
Generators of the group modulo torsion |
j |
4693907404762135439/131077531238400000 |
j-invariant |
L |
4.2400429027311 |
L(r)(E,1)/r! |
Ω |
0.021545924363643 |
Real period |
R |
19.679094900592 |
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 |
68970bw1 |
Quadratic twists by: -11 |