Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
46368v |
Isogeny class |
Conductor |
46368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
34072690176 = 29 · 310 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108219,13702610] |
[a1,a2,a3,a4,a6] |
Generators |
[290:2590:1] |
Generators of the group modulo torsion |
j |
375523199368136/91287 |
j-invariant |
L |
7.6008392202832 |
L(r)(E,1)/r! |
Ω |
0.92741455708387 |
Real period |
R |
4.0978649527402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46368bl4 92736cd4 15456p2 |
Quadratic twists by: -4 8 -3 |