Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
127800bt |
Isogeny class |
Conductor |
127800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
19875456000 = 210 · 37 · 53 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3315,73150] |
[a1,a2,a3,a4,a6] |
Generators |
[50:180:1] |
Generators of the group modulo torsion |
j |
43175444/213 |
j-invariant |
L |
7.3620847152792 |
L(r)(E,1)/r! |
Ω |
1.223629580014 |
Real period |
R |
1.5041489743822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005531 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42600i1 127800bb1 |
Quadratic twists by: -3 5 |