Atkin-Lehner |
3- 5+ 23+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
75555b |
Isogeny class |
Conductor |
75555 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
158353835625 = 38 · 54 · 232 · 73 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 2 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8348,295022] |
[a1,a2,a3,a4,a6] |
Generators |
[78:-377:1] |
Generators of the group modulo torsion |
j |
88245939632761/217220625 |
j-invariant |
L |
3.3162591515653 |
L(r)(E,1)/r! |
Ω |
1.0266344867727 |
Real period |
R |
0.80755594993334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962763 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25185h1 |
Quadratic twists by: -3 |