Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12720x |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-130252800 = -1 · 215 · 3 · 52 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -1 -2 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,104,404] |
[a1,a2,a3,a4,a6] |
Generators |
[4:30:1] |
Generators of the group modulo torsion |
j |
30080231/31800 |
j-invariant |
L |
5.7360947286721 |
L(r)(E,1)/r! |
Ω |
1.2252660319212 |
Real period |
R |
1.170377407688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1590b1 50880cy1 38160ch1 63600ca1 |
Quadratic twists by: -4 8 -3 5 |