Atkin-Lehner |
2+ 3+ 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090l |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
138706888320000 = 210 · 39 · 54 · 7 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28824,-1789120] |
[a1,a2,a3,a4,a6] |
j |
134556177845907/7047040000 |
j-invariant |
L |
2.9407805595851 |
L(r)(E,1)/r! |
Ω |
0.36759756872363 |
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 |
90090ci1 |
Quadratic twists by: -3 |