Atkin-Lehner |
2- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
84032q |
Isogeny class |
Conductor |
84032 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-219445870592 = -1 · 214 · 13 · 1013 |
Discriminant |
Eigenvalues |
2- 1 0 -2 0 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10193,393359] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:808:1] |
Generators of the group modulo torsion |
j |
-7149117778000/13393913 |
j-invariant |
L |
6.7360194223135 |
L(r)(E,1)/r! |
Ω |
0.99725620265935 |
Real period |
R |
0.56287937847694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005777 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84032d2 21008i2 |
Quadratic twists by: -4 8 |