Atkin-Lehner |
3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
83655a |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8061601603158675 = 33 · 52 · 114 · 138 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 11+ 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-50985,-974050] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:1870:1] |
Generators of the group modulo torsion |
j |
112468757283/61858225 |
j-invariant |
L |
4.9034385501692 |
L(r)(E,1)/r! |
Ω |
0.33978336034083 |
Real period |
R |
1.8038841521146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983697 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83655h2 6435d2 |
Quadratic twists by: -3 13 |