Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
41748q |
Isogeny class |
Conductor |
41748 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33408 |
Modular degree for the optimal curve |
Δ |
-2806634544 = -1 · 24 · 3 · 77 · 71 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -3 3 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7121,228948] |
[a1,a2,a3,a4,a6] |
Generators |
[48:6:1] |
Generators of the group modulo torsion |
j |
-21217755136/1491 |
j-invariant |
L |
6.3188529038894 |
L(r)(E,1)/r! |
Ω |
1.3623738049001 |
Real period |
R |
2.3190598942668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125244n1 5964a1 |
Quadratic twists by: -3 -7 |