Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
106032r |
Isogeny class |
Conductor |
106032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1059840 |
Modular degree for the optimal curve |
Δ |
6225384904249344 = 212 · 3 · 477 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 1 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-930725,-345274227] |
[a1,a2,a3,a4,a6] |
Generators |
[6084143102:279178874021:2406104] |
Generators of the group modulo torsion |
j |
2019487744/141 |
j-invariant |
L |
8.0035012238468 |
L(r)(E,1)/r! |
Ω |
0.15370782962847 |
Real period |
R |
13.017393457131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051209 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6627h1 2256i1 |
Quadratic twists by: -4 -47 |