Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850dt |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
868453892578125000 = 23 · 33 · 512 · 74 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21939230,39558527397] |
[a1,a2,a3,a4,a6] |
Generators |
[359:177945:1] |
Generators of the group modulo torsion |
j |
2768241956450868452043/2058557375000 |
j-invariant |
L |
8.8305912189074 |
L(r)(E,1)/r! |
Ω |
0.23336524145855 |
Real period |
R |
1.0511171200468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000174 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59850e4 11970j2 |
Quadratic twists by: -3 5 |