Atkin-Lehner |
2- 3+ 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
60720bl |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
288541440 = 28 · 34 · 5 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49676,4278156] |
[a1,a2,a3,a4,a6] |
Generators |
[85:814:1] |
Generators of the group modulo torsion |
j |
52958093807222224/1127115 |
j-invariant |
L |
3.8564903036859 |
L(r)(E,1)/r! |
Ω |
1.2506688938814 |
Real period |
R |
3.0835421928642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000259 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15180m2 |
Quadratic twists by: -4 |