Atkin-Lehner |
2- 3+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320bb |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-375845184000000000 = -1 · 215 · 35 · 59 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11+ 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8832616,10106727280] |
[a1,a2,a3,a4,a6] |
Generators |
[1716:-208:1] |
Generators of the group modulo torsion |
j |
-18605093748570727251049/91759078125000 |
j-invariant |
L |
4.9101383878124 |
L(r)(E,1)/r! |
Ω |
0.2665976400102 |
Real period |
R |
1.5348155331334 |
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 |
4290l2 102960er2 |
Quadratic twists by: -4 -3 |