Atkin-Lehner |
2+ 3- 7- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27258t |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
17948177265942 = 2 · 314 · 72 · 11 · 592 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11- -6 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8438,-218518] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:166:1] [-54:310:1] |
Generators of the group modulo torsion |
j |
66430617076215001/17948177265942 |
j-invariant |
L |
5.8714608242224 |
L(r)(E,1)/r! |
Ω |
0.50821069897915 |
Real period |
R |
0.82522870871359 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81774ch2 |
Quadratic twists by: -3 |