Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992bw |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
13436068036608 = 220 · 310 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -6 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6060,-43216] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:128:1] |
Generators of the group modulo torsion |
j |
128787625/70308 |
j-invariant |
L |
4.4608242364942 |
L(r)(E,1)/r! |
Ω |
0.57772418052926 |
Real period |
R |
1.9303433947076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029376 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992fq1 3906p1 41664i1 |
Quadratic twists by: -4 8 -3 |