Atkin-Lehner |
2- 3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550dz |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1187402877281250000 = -1 · 24 · 37 · 59 · 73 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-48605,52601397] |
[a1,a2,a3,a4,a6] |
Generators |
[149:6900:1] |
Generators of the group modulo torsion |
j |
-1114835073409/104243874000 |
j-invariant |
L |
11.401539625695 |
L(r)(E,1)/r! |
Ω |
0.22515000285594 |
Real period |
R |
3.1649842919409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059451 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38850b2 23310ba2 |
Quadratic twists by: -3 5 |