Atkin-Lehner |
2- 5- 37- 61- |
Signs for the Atkin-Lehner involutions |
Class |
112850t |
Isogeny class |
Conductor |
112850 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
Δ |
-554432119046144000 = -1 · 220 · 53 · 375 · 61 |
Discriminant |
Eigenvalues |
2- -1 5- -2 -3 -6 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-307353,74603431] |
[a1,a2,a3,a4,a6] |
Generators |
[-605:6592:1] |
Generators of the group modulo torsion |
j |
-25687755387955186469/4435456952369152 |
j-invariant |
L |
4.3128744573665 |
L(r)(E,1)/r! |
Ω |
0.28070549888584 |
Real period |
R |
1.9205512888808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999905341 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
112850g2 |
Quadratic twists by: 5 |