Atkin-Lehner |
2+ 3+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
19824d |
Isogeny class |
Conductor |
19824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
16416019049472 = 210 · 33 · 72 · 594 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29384,1938720] |
[a1,a2,a3,a4,a6] |
Generators |
[858:777:8] |
Generators of the group modulo torsion |
j |
2740130718230308/16031268603 |
j-invariant |
L |
3.1846795294204 |
L(r)(E,1)/r! |
Ω |
0.69925622646545 |
Real period |
R |
4.5543813682119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9912g3 79296cg3 59472p3 |
Quadratic twists by: -4 8 -3 |