Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
2960j |
Isogeny class |
Conductor |
2960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-151552000000000 = -1 · 221 · 59 · 37 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 -3 -4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2664,589040] |
[a1,a2,a3,a4,a6] |
Generators |
[140:1920:1] |
Generators of the group modulo torsion |
j |
510273943271/37000000000 |
j-invariant |
L |
4.2404822467752 |
L(r)(E,1)/r! |
Ω |
0.44127393756156 |
Real period |
R |
2.4024091872544 |
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 |
370c2 11840bi3 26640ca3 14800p3 |
Quadratic twists by: -4 8 -3 5 |