Atkin-Lehner |
3- 5- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
44055l |
Isogeny class |
Conductor |
44055 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-7527209765625 = -1 · 39 · 58 · 11 · 89 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 11- -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3272,-149556] |
[a1,a2,a3,a4,a6] |
Generators |
[152:-1764:1] |
Generators of the group modulo torsion |
j |
-5312655169849/10325390625 |
j-invariant |
L |
2.9567796978427 |
L(r)(E,1)/r! |
Ω |
0.29689005031836 |
Real period |
R |
0.31122419043283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999666 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14685a1 |
Quadratic twists by: -3 |