Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280fj |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
65067421415915520 = 214 · 39 · 5 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-105987,5075714] |
[a1,a2,a3,a4,a6] |
Generators |
[-335:1728:1] |
Generators of the group modulo torsion |
j |
1092727/540 |
j-invariant |
L |
6.3349177323956 |
L(r)(E,1)/r! |
Ω |
0.309325907263 |
Real period |
R |
2.5599689452335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4410q1 11760bo1 35280ed1 |
Quadratic twists by: -4 -3 -7 |