Atkin-Lehner |
2- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
24304u |
Isogeny class |
Conductor |
24304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2442356555136827392 = 216 · 79 · 314 |
Discriminant |
Eigenvalues |
2- 0 0 7- 0 -4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-358435,-34185438] |
[a1,a2,a3,a4,a6] |
Generators |
[-441:6174:1] [-377:6882:1] |
Generators of the group modulo torsion |
j |
30811485375/14776336 |
j-invariant |
L |
7.5655888914307 |
L(r)(E,1)/r! |
Ω |
0.20462558054261 |
Real period |
R |
9.2432100514615 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3038a2 97216bz2 24304k2 |
Quadratic twists by: -4 8 -7 |