Atkin-Lehner |
2+ 5- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12710i |
Isogeny class |
Conductor |
12710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
124195104080 = 24 · 5 · 314 · 412 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 -4 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1247,-139] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:64:1] |
Generators of the group modulo torsion |
j |
214717347294841/124195104080 |
j-invariant |
L |
4.7263521033452 |
L(r)(E,1)/r! |
Ω |
0.88503366515661 |
Real period |
R |
1.3350769268503 |
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 |
101680s2 114390bn2 63550w2 |
Quadratic twists by: -4 -3 5 |