Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600dc |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-885473433600000000 = -1 · 217 · 3 · 58 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,239967,1680063] |
[a1,a2,a3,a4,a6] |
Generators |
[4403:-294000:1] |
Generators of the group modulo torsion |
j |
746185003198/432360075 |
j-invariant |
L |
6.483761752896 |
L(r)(E,1)/r! |
Ω |
0.16830704291093 |
Real period |
R |
1.2038566614543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600el5 4200d6 100800fi5 6720e6 |
Quadratic twists by: -4 8 -3 5 |