Atkin-Lehner |
3- 5+ 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
81765f |
Isogeny class |
Conductor |
81765 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-381423177315 = -1 · 312 · 5 · 23 · 792 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 2 2 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,222,-29687] |
[a1,a2,a3,a4,a6] |
Generators |
[242:545:8] [59:434:1] |
Generators of the group modulo torsion |
j |
1659797504/523214235 |
j-invariant |
L |
8.5852085375041 |
L(r)(E,1)/r! |
Ω |
0.44674858957785 |
Real period |
R |
4.8042728828875 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27255c1 |
Quadratic twists by: -3 |