Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11774l |
Isogeny class |
Conductor |
11774 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-5.5100319089528E+20 |
Discriminant |
Eigenvalues |
2- -2 2 7- -4 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1786722,-1456339388] |
[a1,a2,a3,a4,a6] |
Generators |
[3318:169064:1] |
Generators of the group modulo torsion |
j |
-1060490285861833/926330847232 |
j-invariant |
L |
5.4351131651043 |
L(r)(E,1)/r! |
Ω |
0.062988892833644 |
Real period |
R |
1.0785856284731 |
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 |
94192t1 105966x1 82418o1 406d1 |
Quadratic twists by: -4 -3 -7 29 |