Atkin-Lehner |
2- 29+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
89146g |
Isogeny class |
Conductor |
89146 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-1008820352416 = -1 · 25 · 296 · 53 |
Discriminant |
Eigenvalues |
2- -2 1 -2 -5 -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-23145,-1358087] |
[a1,a2,a3,a4,a6] |
Generators |
[534:11507:1] |
Generators of the group modulo torsion |
j |
-2305199161/1696 |
j-invariant |
L |
4.3228609542667 |
L(r)(E,1)/r! |
Ω |
0.19352452161254 |
Real period |
R |
2.2337535897992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106d1 |
Quadratic twists by: 29 |