Atkin-Lehner |
2- 3- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
12648f |
Isogeny class |
Conductor |
12648 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
91450227159714816 = 210 · 39 · 173 · 314 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2062988672,36064930348560] |
[a1,a2,a3,a4,a6] |
Generators |
[34903088:-79380:1331] |
Generators of the group modulo torsion |
j |
948231297057558902675158107652/89306862460659 |
j-invariant |
L |
6.2005897024512 |
L(r)(E,1)/r! |
Ω |
0.13156400960398 |
Real period |
R |
5.236648027506 |
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 |
25296a4 101184b4 37944f4 |
Quadratic twists by: -4 8 -3 |