Atkin-Lehner |
2- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
93632bc |
Isogeny class |
Conductor |
93632 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
7781224021214887936 = 222 · 76 · 112 · 194 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11- -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-495724,5946960] |
[a1,a2,a3,a4,a6] |
Generators |
[-688:4620:1] |
Generators of the group modulo torsion |
j |
51392959346614257/29683013996944 |
j-invariant |
L |
8.0967278493417 |
L(r)(E,1)/r! |
Ω |
0.19881603659714 |
Real period |
R |
3.3937268447689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003086 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
93632b2 23408i2 |
Quadratic twists by: -4 8 |