Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
17800n |
Isogeny class |
Conductor |
17800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
36094412800 = 211 · 52 · 893 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 -2 5 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5035,-137210] |
[a1,a2,a3,a4,a6] |
Generators |
[-318:89:8] |
Generators of the group modulo torsion |
j |
275709782610/704969 |
j-invariant |
L |
2.3257339464997 |
L(r)(E,1)/r! |
Ω |
0.56684774271437 |
Real period |
R |
1.3676417676481 |
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 |
35600l1 17800f1 |
Quadratic twists by: -4 5 |