Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600dl |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-3.986290713888E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1648033,-869685937] |
[a1,a2,a3,a4,a6] |
Generators |
[76099:20989836:1] |
Generators of the group modulo torsion |
j |
-65743598656/5294205 |
j-invariant |
L |
8.5848756655046 |
L(r)(E,1)/r! |
Ω |
0.066317650566765 |
Real period |
R |
8.0906775536128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041844 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600be2 23520bi2 16800l2 |
Quadratic twists by: -4 5 -7 |