Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
7350c |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
23347444050 = 2 · 34 · 52 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 6 4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7032750,-7181467110] |
[a1,a2,a3,a4,a6] |
Generators |
[-35940525715227:17970883717452:23467349647] |
Generators of the group modulo torsion |
j |
266916252066900625/162 |
j-invariant |
L |
2.9443675878683 |
L(r)(E,1)/r! |
Ω |
0.09270822194156 |
Real period |
R |
15.879754385347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58800ia2 22050dy2 7350cu2 7350bd2 |
Quadratic twists by: -4 -3 5 -7 |