Atkin-Lehner |
3- 7+ 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
28329c |
Isogeny class |
Conductor |
28329 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
68400 |
Modular degree for the optimal curve |
Δ |
-79777480726881 = -1 · 33 · 75 · 195 · 71 |
Discriminant |
Eigenvalues |
1 3- -3 7+ 0 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2990,-434563] |
[a1,a2,a3,a4,a6] |
j |
-2954802548624473/79777480726881 |
j-invariant |
L |
0.79353162528464 |
L(r)(E,1)/r! |
Ω |
0.26451054176175 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84987h1 |
Quadratic twists by: -3 |