Atkin-Lehner |
3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
11025bg |
Isogeny class |
Conductor |
11025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-525317491125 = -1 · 36 · 53 · 78 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 0 -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-91764612,-338322994479] |
[a1,a2,a3,a4,a6] |
Generators |
[463518996922160437601007159296178265746043101281206688467866276057544:14598027428843134255948673538105596225207017602759477494848062287008293:40204328583013950560119122671929264483412365461521076806104390231] |
Generators of the group modulo torsion |
j |
-162677523113838677 |
j-invariant |
L |
5.2735187847877 |
L(r)(E,1)/r! |
Ω |
0.024389379456961 |
Real period |
R |
108.11096678564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1225f2 11025bh2 11025bj2 |
Quadratic twists by: -3 5 -7 |