Atkin-Lehner |
2+ 3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
69090k |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3.2357202016722E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8019022,-1225345316] |
[a1,a2,a3,a4,a6] |
Generators |
[-1247:83311:1] |
Generators of the group modulo torsion |
j |
484729857618359208409/275031679119435000 |
j-invariant |
L |
3.7214652817517 |
L(r)(E,1)/r! |
Ω |
0.096851523038904 |
Real period |
R |
2.401527335753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000956 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870h2 |
Quadratic twists by: -7 |