Atkin-Lehner |
2- 3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960de |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.4156824090738E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1240256960,-16812170470092] |
[a1,a2,a3,a4,a6] |
Generators |
[16085131132:-13752722141565:21952] |
Generators of the group modulo torsion |
j |
51510857911263182185075707841/345625588152793267200 |
j-invariant |
L |
8.8469917739301 |
L(r)(E,1)/r! |
Ω |
0.025440275568778 |
Real period |
R |
10.867354489267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000003583 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870p4 |
Quadratic twists by: -4 |