Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650ec |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
279052452000000 = 28 · 38 · 56 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-449780,116213847] |
[a1,a2,a3,a4,a6] |
Generators |
[365:-939:1] |
Generators of the group modulo torsion |
j |
883437180088177/24498432 |
j-invariant |
L |
12.112479286216 |
L(r)(E,1)/r! |
Ω |
0.51054872240277 |
Real period |
R |
0.49425903459929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999925551 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32550m1 3906g1 |
Quadratic twists by: -3 5 |