Atkin-Lehner |
2- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
126400by |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
339302416384000000 = 238 · 56 · 79 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 2 -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-672033,-210411937] |
[a1,a2,a3,a4,a6] |
Generators |
[-2612618071385528725:-5214094029108421336:5858770858296875] |
Generators of the group modulo torsion |
j |
8194759433281/82837504 |
j-invariant |
L |
9.7677026169332 |
L(r)(E,1)/r! |
Ω |
0.16684644564237 |
Real period |
R |
29.271533413034 |
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 |
126400h1 31600o1 5056r1 |
Quadratic twists by: -4 8 5 |