Atkin-Lehner |
2- 3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
9030t |
Isogeny class |
Conductor |
9030 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1664793375000 = 23 · 3 · 56 · 74 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-307216,65515496] |
[a1,a2,a3,a4,a6] |
j |
3206677550038752561409/1664793375000 |
j-invariant |
L |
4.1399329345975 |
L(r)(E,1)/r! |
Ω |
0.68998882243292 |
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 |
72240bn2 27090v2 45150k2 63210bw2 |
Quadratic twists by: -4 -3 5 -7 |