Atkin-Lehner |
2+ 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
35040d |
Isogeny class |
Conductor |
35040 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
558650779200 = 26 · 314 · 52 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2066,-4416] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:162:1] [-26:180:1] |
Generators of the group modulo torsion |
j |
15245612710336/8728918425 |
j-invariant |
L |
9.0833292696095 |
L(r)(E,1)/r! |
Ω |
0.76776678270449 |
Real period |
R |
0.84506030758216 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35040j1 70080i1 105120x1 |
Quadratic twists by: -4 8 -3 |