Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
79968r |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
69093492023808 = 29 · 34 · 78 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -2 0 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40392,-3085452] |
[a1,a2,a3,a4,a6] |
Generators |
[-124:34:1] |
Generators of the group modulo torsion |
j |
120993582536/1147041 |
j-invariant |
L |
6.0656637500848 |
L(r)(E,1)/r! |
Ω |
0.33695611837777 |
Real period |
R |
2.2501682783742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997738 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79968bc2 11424j2 |
Quadratic twists by: -4 -7 |