Atkin-Lehner |
2+ 3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52080b |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1259919360 = 211 · 34 · 5 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-324056,71111376] |
[a1,a2,a3,a4,a6] |
Generators |
[333:126:1] [410:2646:1] |
Generators of the group modulo torsion |
j |
1837618273553405618/615195 |
j-invariant |
L |
8.1587850815733 |
L(r)(E,1)/r! |
Ω |
0.91480650293843 |
Real period |
R |
4.4592955206198 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26040f4 |
Quadratic twists by: -4 |