Atkin-Lehner |
2- 3+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
774f |
Isogeny class |
Conductor |
774 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-4755456 = -1 · 212 · 33 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 -3 -1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-209,1217] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:52:1] |
Generators of the group modulo torsion |
j |
-37226247219/176128 |
j-invariant |
L |
2.7370287348169 |
L(r)(E,1)/r! |
Ω |
2.4512293565475 |
Real period |
R |
0.41872286361729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
6192j1 24768c1 774a2 19350b1 |
Quadratic twists by: -4 8 -3 5 |