Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850ds |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
6615279153000000 = 26 · 39 · 56 · 72 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-109055,-13270553] |
[a1,a2,a3,a4,a6] |
Generators |
[-167:596:1] |
Generators of the group modulo torsion |
j |
466385893875/21509824 |
j-invariant |
L |
9.8106196645989 |
L(r)(E,1)/r! |
Ω |
0.26346744856074 |
Real period |
R |
1.034348699972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000066 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59850f1 2394a3 |
Quadratic twists by: -3 5 |