Atkin-Lehner |
2- 3+ 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280bc |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6286861378560000 = -1 · 213 · 3 · 54 · 78 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16344,-3734544] |
[a1,a2,a3,a4,a6] |
Generators |
[4467:50300:27] |
Generators of the group modulo torsion |
j |
117872434296791/1534878266250 |
j-invariant |
L |
5.1848604881516 |
L(r)(E,1)/r! |
Ω |
0.20779281640934 |
Real period |
R |
6.2380170899596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999861949 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910q4 |
Quadratic twists by: -4 |