Atkin-Lehner |
2- 3- 41+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
78228c |
Isogeny class |
Conductor |
78228 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-47005845910272 = -1 · 28 · 313 · 41 · 532 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -1 -4 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-65064,-6396428] |
[a1,a2,a3,a4,a6] |
j |
-163221925322752/251874603 |
j-invariant |
L |
1.1955952423344 |
L(r)(E,1)/r! |
Ω |
0.14944940754604 |
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 |
26076f1 |
Quadratic twists by: -3 |