Atkin-Lehner |
2- 3+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
65136o |
Isogeny class |
Conductor |
65136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3068166144 = 215 · 3 · 232 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -2 -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120824,16205424] |
[a1,a2,a3,a4,a6] |
Generators |
[-374:2990:1] [205:98:1] |
Generators of the group modulo torsion |
j |
47624122511517817/749064 |
j-invariant |
L |
7.7647097971336 |
L(r)(E,1)/r! |
Ω |
1.0138029105597 |
Real period |
R |
7.6589933962878 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8142d2 |
Quadratic twists by: -4 |