Atkin-Lehner |
2+ 3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
9030j |
Isogeny class |
Conductor |
9030 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-10538961532349040 = -1 · 24 · 312 · 5 · 78 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18119,5026106] |
[a1,a2,a3,a4,a6] |
Generators |
[51:2032:1] |
Generators of the group modulo torsion |
j |
-657797064711729769/10538961532349040 |
j-invariant |
L |
3.8606335091391 |
L(r)(E,1)/r! |
Ω |
0.34276747117847 |
Real period |
R |
0.23464847611474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72240bm3 27090bs3 45150cb3 63210j3 |
Quadratic twists by: -4 -3 5 -7 |