Atkin-Lehner |
2- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
112700n |
Isogeny class |
Conductor |
112700 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-357858845750000 = -1 · 24 · 56 · 76 · 233 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 -1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22458,1575713] |
[a1,a2,a3,a4,a6] |
Generators |
[-152:1225:1] [142:1127:1] |
Generators of the group modulo torsion |
j |
-42592000/12167 |
j-invariant |
L |
13.591993565203 |
L(r)(E,1)/r! |
Ω |
0.51026984935616 |
Real period |
R |
0.73991316038602 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999997997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4508b2 2300e2 |
Quadratic twists by: 5 -7 |