Atkin-Lehner |
2+ 3+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
25296a |
Isogeny class |
Conductor |
25296 |
Conductor |
∏ cp |
8 |
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] |
j |
948231297057558902675158107652/89306862460659 |
j-invariant |
L |
2.1953381248501 |
L(r)(E,1)/r! |
Ω |
0.022401409437244 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12648f3 101184bd4 75888m4 |
Quadratic twists by: -4 8 -3 |