Atkin-Lehner |
2+ 5+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
117040f |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
29533667609600 = 210 · 52 · 74 · 113 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11- 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26843,1672442] |
[a1,a2,a3,a4,a6] |
Generators |
[67:418:1] |
Generators of the group modulo torsion |
j |
2088896439503556/28841472275 |
j-invariant |
L |
5.932520216186 |
L(r)(E,1)/r! |
Ω |
0.66422536481591 |
Real period |
R |
0.744290584391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946601 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58520k2 |
Quadratic twists by: -4 |