Atkin-Lehner |
2+ 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
129200bc |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20352 |
Modular degree for the optimal curve |
Δ |
-3230000 = -1 · 24 · 54 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5- -4 2 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17,88] |
[a1,a2,a3,a4,a6] |
j |
51200/323 |
j-invariant |
L |
1.8254269293549 |
L(r)(E,1)/r! |
Ω |
1.8254286353563 |
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 |
64600ba1 129200f1 |
Quadratic twists by: -4 5 |