Atkin-Lehner |
5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
56615b |
Isogeny class |
Conductor |
56615 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1.7518004939232E+20 |
Discriminant |
Eigenvalues |
0 -2 5+ 4 0 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-406501,644426930] |
[a1,a2,a3,a4,a6] |
Generators |
[1512:59065:1] |
Generators of the group modulo torsion |
j |
-1539038632738816/36293138881675 |
j-invariant |
L |
3.0777690545215 |
L(r)(E,1)/r! |
Ω |
0.15142579752677 |
Real period |
R |
5.0813155762388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000172 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4355c2 |
Quadratic twists by: 13 |