Atkin-Lehner |
2+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
29600b |
Isogeny class |
Conductor |
29600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-87616000000 = -1 · 212 · 56 · 372 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 0 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1100,20000] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:125:1] [10:-100:1] |
Generators of the group modulo torsion |
j |
-2299968/1369 |
j-invariant |
L |
7.3598438912346 |
L(r)(E,1)/r! |
Ω |
0.99661567343084 |
Real period |
R |
0.92310457373937 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29600r2 59200c1 1184e2 |
Quadratic twists by: -4 8 5 |