Atkin-Lehner |
3+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35739a |
Isogeny class |
Conductor |
35739 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1368000 |
Modular degree for the optimal curve |
Δ |
-1.0229092993766E+21 |
Discriminant |
Eigenvalues |
0 3+ 2 2 11+ 5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1481544,1688080493] |
[a1,a2,a3,a4,a6] |
Generators |
[378921:233249530:1] |
Generators of the group modulo torsion |
j |
-56623104/161051 |
j-invariant |
L |
6.151184231987 |
L(r)(E,1)/r! |
Ω |
0.13731848587772 |
Real period |
R |
11.198754837467 |
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 |
35739f1 35739b1 |
Quadratic twists by: -3 -19 |