Atkin-Lehner |
2- 3+ 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
102480ba |
Isogeny class |
Conductor |
102480 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
2383300500000000 = 28 · 3 · 59 · 7 · 613 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33941,536505] |
[a1,a2,a3,a4,a6] |
Generators |
[-191:122:1] |
Generators of the group modulo torsion |
j |
16891586579267584/9309767578125 |
j-invariant |
L |
5.2329115493782 |
L(r)(E,1)/r! |
Ω |
0.3989831201169 |
Real period |
R |
2.1859369081667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999644251 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25620j2 |
Quadratic twists by: -4 |