Atkin-Lehner |
11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
41327p |
Isogeny class |
Conductor |
41327 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-26239876091 = -1 · 11 · 134 · 174 |
Discriminant |
Eigenvalues |
-2 0 -3 -2 11- 13- 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-289,-8020] |
[a1,a2,a3,a4,a6] |
Generators |
[51:331:1] [32:124:1] |
Generators of the group modulo torsion |
j |
-31961088/314171 |
j-invariant |
L |
3.6292559537626 |
L(r)(E,1)/r! |
Ω |
0.50430911453071 |
Real period |
R |
0.59970757504231 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41327h1 |
Quadratic twists by: 17 |