Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
9360bm |
Isogeny class |
Conductor |
9360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-548045748273254400 = -1 · 212 · 38 · 52 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,87117,-34215118] |
[a1,a2,a3,a4,a6] |
j |
24487529386319/183539412225 |
j-invariant |
L |
2.3225926882228 |
L(r)(E,1)/r! |
Ω |
0.14516204301393 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
585f6 37440ex5 3120r6 46800cw5 |
Quadratic twists by: -4 8 -3 5 |