Atkin-Lehner |
2+ 3+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43050a |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-2216240906250 = -1 · 2 · 3 · 56 · 73 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -3 4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3050,31750] |
[a1,a2,a3,a4,a6] |
Generators |
[45:490:1] |
Generators of the group modulo torsion |
j |
200715401375/141839418 |
j-invariant |
L |
2.9907298420569 |
L(r)(E,1)/r! |
Ω |
0.52088964135496 |
Real period |
R |
2.8707902832111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129150cu2 1722q2 |
Quadratic twists by: -3 5 |