Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490bm |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-89780747061915000 = -1 · 23 · 312 · 54 · 7 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13693,14428208] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:3860:1] |
Generators of the group modulo torsion |
j |
-58818484369/18600435000 |
j-invariant |
L |
5.2576537107962 |
L(r)(E,1)/r! |
Ω |
0.2760222651527 |
Real period |
R |
0.39683194487102 |
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 |
106470ea4 210a5 |
Quadratic twists by: -3 13 |