Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11760bq |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
79042057113600 = 212 · 38 · 52 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-105856,-13214144] |
[a1,a2,a3,a4,a6] |
Generators |
[538:9234:1] |
Generators of the group modulo torsion |
j |
272223782641/164025 |
j-invariant |
L |
3.9136675594174 |
L(r)(E,1)/r! |
Ω |
0.26468909539518 |
Real period |
R |
3.6964760047767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
735e5 47040hg6 35280fr6 58800it6 |
Quadratic twists by: -4 8 -3 5 |