Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28665o |
Isogeny class |
Conductor |
28665 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
19760206552734375 = 33 · 510 · 78 · 13 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 6 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-77184,-4711435] |
[a1,a2,a3,a4,a6] |
Generators |
[-164:1957:1] |
Generators of the group modulo torsion |
j |
16008724040427/6220703125 |
j-invariant |
L |
7.3590857352182 |
L(r)(E,1)/r! |
Ω |
0.29605674467192 |
Real period |
R |
1.2428505459947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28665f2 4095b2 |
Quadratic twists by: -3 -7 |