Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600bb |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20592000 |
Modular degree for the optimal curve |
Δ |
-1.6541053040856E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- 5 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,55513792,113753588412] |
[a1,a2,a3,a4,a6] |
Generators |
[566865310726:167529316816600:6539203] |
Generators of the group modulo torsion |
j |
1823641820/1594323 |
j-invariant |
L |
5.0708844894972 |
L(r)(E,1)/r! |
Ω |
0.045215383957909 |
Real period |
R |
18.69158991778 |
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 |
72600ee1 72600dh1 |
Quadratic twists by: 5 -11 |