Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680cv |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-5434141426560000 = -1 · 210 · 38 · 54 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21576,3743424] |
[a1,a2,a3,a4,a6] |
Generators |
[24:1800:1] |
Generators of the group modulo torsion |
j |
-9220796644/45106875 |
j-invariant |
L |
7.0092586177102 |
L(r)(E,1)/r! |
Ω |
0.37214907373664 |
Real period |
R |
1.1771590862583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000347 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360j3 1320j4 |
Quadratic twists by: -4 -7 |