Atkin-Lehner |
2- 3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320bm |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-28978815015321600 = -1 · 224 · 3 · 52 · 116 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2271560,1318537200] |
[a1,a2,a3,a4,a6] |
Generators |
[820:2560:1] |
Generators of the group modulo torsion |
j |
-316472948332146183241/7074906009600 |
j-invariant |
L |
5.2117163048247 |
L(r)(E,1)/r! |
Ω |
0.34478672259718 |
Real period |
R |
1.2596473808422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290o3 102960di3 |
Quadratic twists by: -4 -3 |