Atkin-Lehner |
2+ 3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550bi |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-2299120425000000 = -1 · 26 · 32 · 58 · 73 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,17174,2139548] |
[a1,a2,a3,a4,a6] |
Generators |
[133:2537:1] |
Generators of the group modulo torsion |
j |
1434215474375/5885748288 |
j-invariant |
L |
5.0553563722218 |
L(r)(E,1)/r! |
Ω |
0.32889296043242 |
Real period |
R |
0.42696738084763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97650ev2 32550bp2 |
Quadratic twists by: -3 5 |