Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
3330g |
Isogeny class |
Conductor |
3330 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-187041455216100 = -1 · 22 · 36 · 52 · 376 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-47295,4025025] |
[a1,a2,a3,a4,a6] |
Generators |
[300:3945:1] |
Generators of the group modulo torsion |
j |
-16048965315233521/256572640900 |
j-invariant |
L |
2.5896385841142 |
L(r)(E,1)/r! |
Ω |
0.56909152826104 |
Real period |
R |
3.4128586380832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
26640bg4 106560cp4 370d4 16650bz4 |
Quadratic twists by: -4 8 -3 5 |