Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11774k |
Isogeny class |
Conductor |
11774 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-16655052988 = -1 · 22 · 7 · 296 |
Discriminant |
Eigenvalues |
2- 2 0 7- 0 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-438,6959] |
[a1,a2,a3,a4,a6] |
Generators |
[7668:79393:64] |
Generators of the group modulo torsion |
j |
-15625/28 |
j-invariant |
L |
9.4210949244361 |
L(r)(E,1)/r! |
Ω |
1.1037778937287 |
Real period |
R |
4.2676588188457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94192v1 105966u1 82418p1 14a4 |
Quadratic twists by: -4 -3 -7 29 |