Atkin-Lehner |
2+ 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
23688g |
Isogeny class |
Conductor |
23688 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
161602947072 = 211 · 36 · 72 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -2 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18675,-982098] |
[a1,a2,a3,a4,a6] |
Generators |
[1218:42228:1] |
Generators of the group modulo torsion |
j |
482445281250/108241 |
j-invariant |
L |
4.9573060496544 |
L(r)(E,1)/r! |
Ω |
0.40840424652168 |
Real period |
R |
6.0691166801949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47376o2 2632b2 |
Quadratic twists by: -4 -3 |