Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
67620p |
Isogeny class |
Conductor |
67620 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4133145663787633920 = -1 · 28 · 32 · 5 · 714 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2704620,1715708520] |
[a1,a2,a3,a4,a6] |
Generators |
[-7142:467705:8] |
Generators of the group modulo torsion |
j |
-72646456083703504/137231087805 |
j-invariant |
L |
5.4660689888538 |
L(r)(E,1)/r! |
Ω |
0.24693772849884 |
Real period |
R |
5.5338536381601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997158 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9660d2 |
Quadratic twists by: -7 |