Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960bm |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2161383193755600 = 24 · 3 · 52 · 239 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6435461,-6281586264] |
[a1,a2,a3,a4,a6] |
Generators |
[-221593345578591828:-2245255630358455:151351265873088] |
Generators of the group modulo torsion |
j |
12444451776495616/912525 |
j-invariant |
L |
3.8332745564552 |
L(r)(E,1)/r! |
Ω |
0.094788278366722 |
Real period |
R |
20.220192652152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000148628 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31740h3 5520v3 |
Quadratic twists by: -4 -23 |