Atkin-Lehner |
2+ 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
54288u |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
44032 |
Modular degree for the optimal curve |
Δ |
-21951461376 = -1 · 211 · 37 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 2 13- -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3459,78626] |
[a1,a2,a3,a4,a6] |
Generators |
[29:52:1] [-35:396:1] |
Generators of the group modulo torsion |
j |
-3065617154/14703 |
j-invariant |
L |
8.3593867144886 |
L(r)(E,1)/r! |
Ω |
1.2134961283092 |
Real period |
R |
0.21527125528766 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27144g1 18096h1 |
Quadratic twists by: -4 -3 |