Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
3330i |
Isogeny class |
Conductor |
3330 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-104871024000000 = -1 · 210 · 311 · 56 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 2 -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10314,639220] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:1037:1] |
Generators of the group modulo torsion |
j |
-166456688365729/143856000000 |
j-invariant |
L |
2.7605556269197 |
L(r)(E,1)/r! |
Ω |
0.54529585708325 |
Real period |
R |
0.42187428944319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26640bl1 106560br1 1110i1 16650cc1 |
Quadratic twists by: -4 8 -3 5 |