Atkin-Lehner |
3- 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
124425n |
Isogeny class |
Conductor |
124425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
63777533203125 = 310 · 59 · 7 · 79 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 1 3 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-11325,259906] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:562:1] |
Generators of the group modulo torsion |
j |
14102327296/5599125 |
j-invariant |
L |
3.7470803060054 |
L(r)(E,1)/r! |
Ω |
0.56452194350881 |
Real period |
R |
0.82970208915323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050142 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41475e1 24885c1 |
Quadratic twists by: -3 5 |