Atkin-Lehner |
2- 5- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
88330bl |
Isogeny class |
Conductor |
88330 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-5172958120 = -1 · 23 · 5 · 116 · 73 |
Discriminant |
Eigenvalues |
2- 2 5- 0 11- 0 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-305,3895] |
[a1,a2,a3,a4,a6] |
Generators |
[149:1740:1] |
Generators of the group modulo torsion |
j |
-1771561/2920 |
j-invariant |
L |
16.070199241539 |
L(r)(E,1)/r! |
Ω |
1.2199766055173 |
Real period |
R |
2.1954245082637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003716 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
730e1 |
Quadratic twists by: -11 |