Atkin-Lehner |
2- 3- 37+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
129648z |
Isogeny class |
Conductor |
129648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
58148683776 = 215 · 32 · 37 · 732 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -6 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-227352,41649300] |
[a1,a2,a3,a4,a6] |
Generators |
[276:30:1] [3658:46305:8] |
Generators of the group modulo torsion |
j |
317294110851639193/14196456 |
j-invariant |
L |
15.278149977311 |
L(r)(E,1)/r! |
Ω |
0.82922186575351 |
Real period |
R |
9.2123414810382 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999997108 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16206a2 |
Quadratic twists by: -4 |