Atkin-Lehner |
2- 3+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
75888p |
Isogeny class |
Conductor |
75888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
32634268416 = 28 · 33 · 173 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-78639,-8487990] |
[a1,a2,a3,a4,a6] |
Generators |
[-1608714084992601314:-155491438269175:9930334019584888] |
Generators of the group modulo torsion |
j |
7780973376497904/4721393 |
j-invariant |
L |
7.6469823161453 |
L(r)(E,1)/r! |
Ω |
0.28509531130441 |
Real period |
R |
26.822546750411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18972a2 75888r2 |
Quadratic twists by: -4 -3 |