Atkin-Lehner |
2+ 3- 5- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
71910p |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7735942968750 = 2 · 36 · 58 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -6 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6504,152810] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:577:1] |
Generators of the group modulo torsion |
j |
41742200624769/10611718750 |
j-invariant |
L |
5.6039124802993 |
L(r)(E,1)/r! |
Ω |
0.69360482549979 |
Real period |
R |
0.50496264896445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7990d2 |
Quadratic twists by: -3 |