Atkin-Lehner |
2+ 3+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
35088a |
Isogeny class |
Conductor |
35088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
38175744 = 210 · 3 · 172 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12424,-528896] |
[a1,a2,a3,a4,a6] |
Generators |
[260:3708:1] |
Generators of the group modulo torsion |
j |
207130016261668/37281 |
j-invariant |
L |
4.2878459905417 |
L(r)(E,1)/r! |
Ω |
0.45220075771364 |
Real period |
R |
4.7410866936856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17544f1 105264l1 |
Quadratic twists by: -4 -3 |