Atkin-Lehner |
7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
56749f |
Isogeny class |
Conductor |
56749 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
7741142269553 = 72 · 119 · 67 |
Discriminant |
Eigenvalues |
-1 -2 0 7- 11- -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-57548873,168031596448] |
[a1,a2,a3,a4,a6] |
Generators |
[1502256:-751036:343] |
Generators of the group modulo torsion |
j |
11898112499525546547625/4369673 |
j-invariant |
L |
1.8305485037389 |
L(r)(E,1)/r! |
Ω |
0.31005134719653 |
Real period |
R |
5.9040172545818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5159b2 |
Quadratic twists by: -11 |