Atkin-Lehner |
2- 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
39160n |
Isogeny class |
Conductor |
39160 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
13648199840000 = 28 · 54 · 112 · 893 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 11- -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-234623,43742178] |
[a1,a2,a3,a4,a6] |
Generators |
[-271:9350:1] [83:4984:1] |
Generators of the group modulo torsion |
j |
5579502770460542544/53313280625 |
j-invariant |
L |
7.8485121620809 |
L(r)(E,1)/r! |
Ω |
0.63753522821916 |
Real period |
R |
1.0258926114568 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78320f1 |
Quadratic twists by: -4 |