Atkin-Lehner |
2+ 3- 17- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
126072j |
Isogeny class |
Conductor |
126072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
761856 |
Modular degree for the optimal curve |
Δ |
883325755450368 = 210 · 314 · 17 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-332139,-73662442] |
[a1,a2,a3,a4,a6] |
Generators |
[-335655910244801:-76961132857136:1000300030001] |
Generators of the group modulo torsion |
j |
5428200096948388/1183296033 |
j-invariant |
L |
8.6868180822369 |
L(r)(E,1)/r! |
Ω |
0.19887274458276 |
Real period |
R |
21.840142216285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42024g1 |
Quadratic twists by: -3 |