Atkin-Lehner |
2+ 3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
34320h |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
12787454085120 = 211 · 38 · 5 · 114 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6040,57232] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:484:1] |
Generators of the group modulo torsion |
j |
11900808771122/6243874065 |
j-invariant |
L |
5.1583889955274 |
L(r)(E,1)/r! |
Ω |
0.62372946635671 |
Real period |
R |
1.0337793213575 |
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 |
17160i3 102960r3 |
Quadratic twists by: -4 -3 |