Atkin-Lehner |
17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
76313c |
Isogeny class |
Conductor |
76313 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1.4629084456258E+20 |
Discriminant |
Eigenvalues |
1 2 4 2 -2 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1144602,-340814245] |
[a1,a2,a3,a4,a6] |
Generators |
[33837968390688504693293915537847354330:-322333410916848679880646871829993344039:119363851568972109718096972037487000] |
Generators of the group modulo torsion |
j |
1833318007919/1617217123 |
j-invariant |
L |
16.005748782878 |
L(r)(E,1)/r! |
Ω |
0.10079141617646 |
Real period |
R |
52.933571089997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001602 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1139b2 |
Quadratic twists by: -67 |