Atkin-Lehner |
2- 3- 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090dt |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
135 |
Product of Tamagawa factors cp |
Δ |
-505135927296000 = -1 · 215 · 36 · 53 · 7 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3118,1078481] |
[a1,a2,a3,a4,a6] |
j |
4599970967591/692916224000 |
j-invariant |
L |
6.0393076474747 |
L(r)(E,1)/r! |
Ω |
0.40262051922802 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
10010e2 |
Quadratic twists by: -3 |