Atkin-Lehner |
2+ 3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
64974h |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1414742991903200232 = 23 · 37 · 73 · 138 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-582376,160963384] |
[a1,a2,a3,a4,a6] |
Generators |
[-393:18344:1] |
Generators of the group modulo torsion |
j |
63685588278222463519/4124615136744024 |
j-invariant |
L |
2.4032544970245 |
L(r)(E,1)/r! |
Ω |
0.26497176897574 |
Real period |
R |
4.5349255626571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64974w2 |
Quadratic twists by: -7 |