Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
29400cn |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
5188320900000000 = 28 · 32 · 58 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-171908,27271812] |
[a1,a2,a3,a4,a6] |
Generators |
[-268:7350:1] |
Generators of the group modulo torsion |
j |
1193895376/11025 |
j-invariant |
L |
4.791442674342 |
L(r)(E,1)/r! |
Ω |
0.43257170244737 |
Real period |
R |
1.3845804774195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58800cq2 88200bt2 5880k2 4200z2 |
Quadratic twists by: -4 -3 5 -7 |