Atkin-Lehner |
2+ 5+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
39050d |
Isogeny class |
Conductor |
39050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
61416421386718750 = 2 · 512 · 116 · 71 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 11+ -5 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-371400,-86453750] |
[a1,a2,a3,a4,a6] |
Generators |
[-375:700:1] [-371:851:1] |
Generators of the group modulo torsion |
j |
362602848466723969/3930650968750 |
j-invariant |
L |
5.7055786904541 |
L(r)(E,1)/r! |
Ω |
0.19351888530508 |
Real period |
R |
7.3708293139716 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7810c2 |
Quadratic twists by: 5 |