Atkin-Lehner |
2+ 3+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30450c |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-12254043457031250 = -1 · 2 · 3 · 512 · 73 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 3 -5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-32025,5751375] |
[a1,a2,a3,a4,a6] |
Generators |
[-205:2040:1] |
Generators of the group modulo torsion |
j |
-232483583073169/784258781250 |
j-invariant |
L |
2.9995237652891 |
L(r)(E,1)/r! |
Ω |
0.35132858345457 |
Real period |
R |
4.2688296747666 |
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 |
91350ef2 6090x2 |
Quadratic twists by: -3 5 |