Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
106032m |
Isogeny class |
Conductor |
106032 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
deg |
93265920 |
Modular degree for the optimal curve |
Δ |
-3.5962368088767E+28 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -2 -4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-967065592,14738525687012] |
[a1,a2,a3,a4,a6] |
Generators |
[-33433:3114690:1] |
Generators of the group modulo torsion |
j |
-9061589884199351908/3258075751785207 |
j-invariant |
L |
9.4527040888055 |
L(r)(E,1)/r! |
Ω |
0.034503213835357 |
Real period |
R |
3.1132488742996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026588 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53016k1 2256e1 |
Quadratic twists by: -4 -47 |