Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400gj |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
50301000000000000 = 212 · 37 · 512 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6702633,-6676831863] |
[a1,a2,a3,a4,a6] |
Generators |
[424504686720596664688:-10817214442346817115625:128744785550864384] |
Generators of the group modulo torsion |
j |
520331507252226496/785953125 |
j-invariant |
L |
5.764013393128 |
L(r)(E,1)/r! |
Ω |
0.093829246459872 |
Real period |
R |
30.715441217851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999736662 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400hs2 55200cj1 22080cw2 |
Quadratic twists by: -4 8 5 |