Atkin-Lehner |
2- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126350dn |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
420 |
Product of Tamagawa factors cp |
deg |
672000 |
Modular degree for the optimal curve |
Δ |
-1180459141120000 = -1 · 214 · 54 · 75 · 193 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -2 -3 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-22988,2126992] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:1524:1] [112:924:1] |
Generators of the group modulo torsion |
j |
-313391806675/275365888 |
j-invariant |
L |
12.93518454414 |
L(r)(E,1)/r! |
Ω |
0.44542667350371 |
Real period |
R |
0.069142824814262 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999950521 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350g1 126350bq1 |
Quadratic twists by: 5 -19 |