Atkin-Lehner |
2- 3- 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
100620c |
Isogeny class |
Conductor |
100620 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-22779864900000000 = -1 · 28 · 36 · 58 · 132 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -6 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,64377,3633822] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:962:1] [27:2322:1] |
Generators of the group modulo torsion |
j |
158106025689264/122062890625 |
j-invariant |
L |
10.909936625188 |
L(r)(E,1)/r! |
Ω |
0.24413385652608 |
Real period |
R |
3.7240282783558 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000277 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11180a2 |
Quadratic twists by: -3 |