Atkin-Lehner |
2+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
35392j |
Isogeny class |
Conductor |
35392 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
304554672128 = 215 · 76 · 79 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 4 0 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2913,-55361] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:56:1] [98:781:1] |
Generators of the group modulo torsion |
j |
83453453000/9294271 |
j-invariant |
L |
6.8015000850167 |
L(r)(E,1)/r! |
Ω |
0.6545359550767 |
Real period |
R |
1.7318885826064 |
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 |
35392d2 17696c2 |
Quadratic twists by: -4 8 |