Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
23520bd |
Isogeny class |
Conductor |
23520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
112943040000 = 29 · 3 · 54 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1976,30360] |
[a1,a2,a3,a4,a6] |
Generators |
[133:1450:1] |
Generators of the group modulo torsion |
j |
14172488/1875 |
j-invariant |
L |
3.3787071259561 |
L(r)(E,1)/r! |
Ω |
1.0142032875025 |
Real period |
R |
3.3313904298971 |
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 |
23520n3 47040dd3 70560bl3 117600co3 |
Quadratic twists by: -4 8 -3 5 |