Atkin-Lehner |
2- 3+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
26040p |
Isogeny class |
Conductor |
26040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
19998720 = 211 · 32 · 5 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-416640,103650732] |
[a1,a2,a3,a4,a6] |
Generators |
[377:134:1] [473:3490:1] |
Generators of the group modulo torsion |
j |
3905509421806513922/9765 |
j-invariant |
L |
7.2047889373828 |
L(r)(E,1)/r! |
Ω |
1.0055589909316 |
Real period |
R |
14.329917990605 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52080r4 78120d4 |
Quadratic twists by: -4 -3 |