Atkin-Lehner |
2+ 3+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
62328b |
Isogeny class |
Conductor |
62328 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
164919888 = 24 · 34 · 74 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -1 -1 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-163,568] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:35:1] [-8:36:1] |
Generators of the group modulo torsion |
j |
12544000/4293 |
j-invariant |
L |
8.6519747784511 |
L(r)(E,1)/r! |
Ω |
1.668843834869 |
Real period |
R |
0.43203437202433 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124656v1 62328u1 |
Quadratic twists by: -4 -7 |