Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
46368v |
Isogeny class |
Conductor |
46368 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-148467330611712 = -1 · 29 · 37 · 78 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-579,586262] |
[a1,a2,a3,a4,a6] |
Generators |
[421:8658:1] |
Generators of the group modulo torsion |
j |
-57512456/397771269 |
j-invariant |
L |
7.6008392202832 |
L(r)(E,1)/r! |
Ω |
0.46370727854194 |
Real period |
R |
4.0978649527402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
46368bl2 92736cd3 15456p4 |
Quadratic twists by: -4 8 -3 |