Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240bt |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-401088359301120 = -1 · 217 · 37 · 5 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,16692,489328] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:536:1] |
Generators of the group modulo torsion |
j |
5382838942/4197615 |
j-invariant |
L |
5.8424684960752 |
L(r)(E,1)/r! |
Ω |
0.34225987440443 |
Real period |
R |
4.267567522043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999397 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240ej3 8280l4 22080bj3 |
Quadratic twists by: -4 8 -3 |