Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850eb |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
972526571296875000 = 23 · 33 · 59 · 72 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-324980,53311647] |
[a1,a2,a3,a4,a6] |
Generators |
[159:2295:1] |
Generators of the group modulo torsion |
j |
8997224809453803/2305248169000 |
j-invariant |
L |
8.7194467857862 |
L(r)(E,1)/r! |
Ω |
0.26060373992945 |
Real period |
R |
0.46470333699539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000138 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59850n4 11970l2 |
Quadratic twists by: -3 5 |