Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3850d |
Isogeny class |
Conductor |
3850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-48441121093750000 = -1 · 24 · 512 · 7 · 116 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11+ 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,12600,-10570000] |
[a1,a2,a3,a4,a6] |
Generators |
[28911521:1863406220:6859] |
Generators of the group modulo torsion |
j |
14156681599871/3100231750000 |
j-invariant |
L |
3.5912111971237 |
L(r)(E,1)/r! |
Ω |
0.16828603746178 |
Real period |
R |
10.669961843802 |
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 |
30800ca3 123200bf3 34650dc3 770f3 |
Quadratic twists by: -4 8 -3 5 |