Atkin-Lehner |
3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
35739n |
Isogeny class |
Conductor |
35739 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-1.7071515744729E+19 |
Discriminant |
Eigenvalues |
0 3- 0 2 11+ 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1180470,-532184666] |
[a1,a2,a3,a4,a6] |
Generators |
[388930:20123341:125] |
Generators of the group modulo torsion |
j |
-5304438784000/497763387 |
j-invariant |
L |
4.4761686775046 |
L(r)(E,1)/r! |
Ω |
0.072035089952921 |
Real period |
R |
7.7673406815187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11913d1 1881a1 |
Quadratic twists by: -3 -19 |