Atkin-Lehner |
2+ 3- 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
83850bc |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
221775127031250 = 2 · 310 · 57 · 13 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-22776,-1114052] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:492:1] [-82:492:1] |
Generators of the group modulo torsion |
j |
83619706309489/14193608130 |
j-invariant |
L |
9.1387736296661 |
L(r)(E,1)/r! |
Ω |
0.39312096319932 |
Real period |
R |
2.3246721709424 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770o2 |
Quadratic twists by: 5 |