Atkin-Lehner |
2- 3+ 5- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
34710x |
Isogeny class |
Conductor |
34710 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
9787789596000 = 25 · 3 · 53 · 13 · 894 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-832165,-292534645] |
[a1,a2,a3,a4,a6] |
Generators |
[-527:268:1] |
Generators of the group modulo torsion |
j |
63731198006148639018961/9787789596000 |
j-invariant |
L |
6.9935488993176 |
L(r)(E,1)/r! |
Ω |
0.15806917786884 |
Real period |
R |
1.4747865446442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104130m4 |
Quadratic twists by: -3 |