Atkin-Lehner |
2+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
89056a |
Isogeny class |
Conductor |
89056 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
278784 |
Modular degree for the optimal curve |
Δ |
27767192009216 = 29 · 119 · 23 |
Discriminant |
Eigenvalues |
2+ 2 3 1 11+ 1 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36824,-2695768] |
[a1,a2,a3,a4,a6] |
Generators |
[-205832247207860:155309333553627:1934434936000] |
Generators of the group modulo torsion |
j |
4574296/23 |
j-invariant |
L |
13.376422183406 |
L(r)(E,1)/r! |
Ω |
0.34474444017845 |
Real period |
R |
19.400490079669 |
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 |
89056b1 89056i1 |
Quadratic twists by: -4 -11 |