Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800fm |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2057739552000000000 = -1 · 214 · 312 · 59 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,201167,59575537] |
[a1,a2,a3,a4,a6] |
Generators |
[267:11500:1] [1448:58179:1] |
Generators of the group modulo torsion |
j |
28134667888/64304361 |
j-invariant |
L |
8.4676698233486 |
L(r)(E,1)/r! |
Ω |
0.18190218368249 |
Real period |
R |
11.637669284569 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800dj2 13200cn2 52800hq2 |
Quadratic twists by: -4 8 5 |