Atkin-Lehner |
2+ 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
124656w |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
6335562417408 = 28 · 34 · 78 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 3 -1 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13148,-571908] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:36:1] |
Generators of the group modulo torsion |
j |
170338000/4293 |
j-invariant |
L |
8.0720048299377 |
L(r)(E,1)/r! |
Ω |
0.44652866214578 |
Real period |
R |
2.2596547318465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994246 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62328z1 124656m1 |
Quadratic twists by: -4 -7 |