Atkin-Lehner |
2- 3- 5+ 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
122130bq |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
35551279687500 = 22 · 36 · 58 · 232 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8633,-111923] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:446:1] [367:6602:1] |
Generators of the group modulo torsion |
j |
97596500046921/48767187500 |
j-invariant |
L |
15.932495496656 |
L(r)(E,1)/r! |
Ω |
0.52167378168488 |
Real period |
R |
7.6352770911928 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994718 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13570b2 |
Quadratic twists by: -3 |