Atkin-Lehner |
2+ 5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5510a |
Isogeny class |
Conductor |
5510 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
607202000 = 24 · 53 · 192 · 292 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 0 4 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10655,-420675] |
[a1,a2,a3,a4,a6] |
Generators |
[122:229:1] |
Generators of the group modulo torsion |
j |
133784870131851849/607202000 |
j-invariant |
L |
2.65365617647 |
L(r)(E,1)/r! |
Ω |
0.46990427798797 |
Real period |
R |
2.8236135536288 |
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 |
44080i2 49590cc2 27550q2 104690ba2 |
Quadratic twists by: -4 -3 5 -19 |