Atkin-Lehner |
2- 7- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
120274s |
Isogeny class |
Conductor |
120274 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2983018187996 = 22 · 72 · 118 · 71 |
Discriminant |
Eigenvalues |
2- 2 2 7- 11- 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22176217,-40204913429] |
[a1,a2,a3,a4,a6] |
Generators |
[16452601870336618452874646401760223580587447447:1589181726330468608183584728152991133456826113862:1414711128911211822978350690768762443210809] |
Generators of the group modulo torsion |
j |
680816371007788184233/1683836 |
j-invariant |
L |
19.905803299235 |
L(r)(E,1)/r! |
Ω |
0.069570910780562 |
Real period |
R |
71.530626428797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999908635 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10934b2 |
Quadratic twists by: -11 |