Atkin-Lehner |
2- 3- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
117648cb |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-26153608764137472 = -1 · 213 · 314 · 192 · 432 |
Discriminant |
Eigenvalues |
2- 3- 0 2 4 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-196995,34541314] |
[a1,a2,a3,a4,a6] |
Generators |
[215:-1458:1] |
Generators of the group modulo torsion |
j |
-283140402954625/8758790658 |
j-invariant |
L |
9.1543382701567 |
L(r)(E,1)/r! |
Ω |
0.37463465202821 |
Real period |
R |
1.5272109366202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071143 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14706c2 39216bi2 |
Quadratic twists by: -4 -3 |