Atkin-Lehner |
2- 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
94752ba |
Isogeny class |
Conductor |
94752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
752141376 = 26 · 36 · 73 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 2 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48369,-4094480] |
[a1,a2,a3,a4,a6] |
Generators |
[-4517023197688110432:-1639243290144425:35567144925036544] |
Generators of the group modulo torsion |
j |
268236291383488/16121 |
j-invariant |
L |
8.6443864276657 |
L(r)(E,1)/r! |
Ω |
0.32192727916066 |
Real period |
R |
26.851984864519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000194 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94752bl1 10528b1 |
Quadratic twists by: -4 -3 |