Atkin-Lehner |
3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
35739j |
Isogeny class |
Conductor |
35739 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
112046493162483 = 39 · 112 · 196 |
Discriminant |
Eigenvalues |
-1 3+ 4 -2 11- 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-54218,4845934] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:2510:1] |
Generators of the group modulo torsion |
j |
19034163/121 |
j-invariant |
L |
4.5141253639362 |
L(r)(E,1)/r! |
Ω |
0.59583464050188 |
Real period |
R |
3.7880689180254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35739e2 99c2 |
Quadratic twists by: -3 -19 |