Atkin-Lehner |
2+ 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
26040f |
Isogeny class |
Conductor |
26040 |
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 |
[-1028103328562:273169935:3124943128] |
Generators of the group modulo torsion |
j |
1837618273553405618/615195 |
j-invariant |
L |
5.8329275863059 |
L(r)(E,1)/r! |
Ω |
0.200098773323 |
Real period |
R |
14.575120800192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52080b4 78120bh4 |
Quadratic twists by: -4 -3 |