Atkin-Lehner |
11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35321a |
Isogeny class |
Conductor |
35321 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2497896300061019 = -1 · 11 · 136 · 196 |
Discriminant |
Eigenvalues |
0 1 3 4 11+ 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,32561,-806451] |
[a1,a2,a3,a4,a6] |
Generators |
[88795131:2377972981:132651] |
Generators of the group modulo torsion |
j |
790939860992/517504691 |
j-invariant |
L |
7.8549688949069 |
L(r)(E,1)/r! |
Ω |
0.26110596574927 |
Real period |
R |
7.5208631028083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
209a2 |
Quadratic twists by: 13 |