Atkin-Lehner |
2+ 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
57960bb |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
39183593702400 = 210 · 310 · 52 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9147,-150586] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:200:1] |
Generators of the group modulo torsion |
j |
113378906596/52490025 |
j-invariant |
L |
7.6051569512004 |
L(r)(E,1)/r! |
Ω |
0.51035307470258 |
Real period |
R |
3.7254389794673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
115920bk2 19320o2 |
Quadratic twists by: -4 -3 |