Atkin-Lehner |
2+ 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
74200b |
Isogeny class |
Conductor |
74200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-7865200 = -1 · 24 · 52 · 7 · 532 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 1 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2028,35837] |
[a1,a2,a3,a4,a6] |
Generators |
[26:3:1] |
Generators of the group modulo torsion |
j |
-2307181200640/19663 |
j-invariant |
L |
9.0554492255685 |
L(r)(E,1)/r! |
Ω |
2.1037466206727 |
Real period |
R |
1.0761097768202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74200x1 |
Quadratic twists by: 5 |