Atkin-Lehner |
2+ 3+ 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090f |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
39489828618240 = 216 · 33 · 5 · 74 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-57671640,168588796736] |
[a1,a2,a3,a4,a6] |
j |
785682096445051993864010907/1462586245120 |
j-invariant |
L |
2.365871917089 |
L(r)(E,1)/r! |
Ω |
0.29573398984758 |
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 |
90090co2 |
Quadratic twists by: -3 |