Atkin-Lehner |
7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
56749h |
Isogeny class |
Conductor |
56749 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26688 |
Modular degree for the optimal curve |
Δ |
-397243 = -1 · 72 · 112 · 67 |
Discriminant |
Eigenvalues |
-2 -2 -2 7- 11- 2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-414,3108] |
[a1,a2,a3,a4,a6] |
Generators |
[12:3:1] |
Generators of the group modulo torsion |
j |
-65011167232/3283 |
j-invariant |
L |
1.6168941964651 |
L(r)(E,1)/r! |
Ω |
2.8296001465811 |
Real period |
R |
0.28571072103804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000128 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56749a1 |
Quadratic twists by: -11 |