Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224ct |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-9.9943559294846E+18 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- -4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,69972,151935280] |
[a1,a2,a3,a4,a6] |
Generators |
[1168830:113080064:125] |
Generators of the group modulo torsion |
j |
4913/1296 |
j-invariant |
L |
6.8337268395985 |
L(r)(E,1)/r! |
Ω |
0.1774891139077 |
Real period |
R |
9.625557716109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28224gl1 882l1 9408bm1 28224cv1 |
Quadratic twists by: -4 8 -3 -7 |