Atkin-Lehner |
2- 3+ 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
122760be |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-14179319279769600 = -1 · 211 · 39 · 52 · 114 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-167643,-27033642] |
[a1,a2,a3,a4,a6] |
Generators |
[5226:376596:1] |
Generators of the group modulo torsion |
j |
-12925838915766/351750025 |
j-invariant |
L |
4.8615147162394 |
L(r)(E,1)/r! |
Ω |
0.11778120829512 |
Real period |
R |
5.159476300002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997818898 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122760f2 |
Quadratic twists by: -3 |