Atkin-Lehner |
2+ 3- 5+ 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
96570d |
Isogeny class |
Conductor |
96570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
572324712390000 = 24 · 37 · 54 · 294 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-89190,-10165244] |
[a1,a2,a3,a4,a6] |
Generators |
[-163:230:1] |
Generators of the group modulo torsion |
j |
107633488050246241/785081910000 |
j-invariant |
L |
3.9477206877237 |
L(r)(E,1)/r! |
Ω |
0.27638294145004 |
Real period |
R |
3.570879490874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999460909 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32190s3 |
Quadratic twists by: -3 |