Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992bt |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
68020094435328 = 216 · 314 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 2 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10380,90736] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:544:1] |
Generators of the group modulo torsion |
j |
2588858500/1423737 |
j-invariant |
L |
6.9824040725041 |
L(r)(E,1)/r! |
Ω |
0.5369405011347 |
Real period |
R |
3.2510138605611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992fn1 15624u1 41664bo1 |
Quadratic twists by: -4 8 -3 |