Atkin-Lehner |
2- 3- 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49590cb |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
-9476796579840000 = -1 · 222 · 38 · 54 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -2 -4 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,46138,2706261] |
[a1,a2,a3,a4,a6] |
Generators |
[41:-2181:1] [-31:1131:1] |
Generators of the group modulo torsion |
j |
14899829628615911/12999720960000 |
j-invariant |
L |
13.006471795776 |
L(r)(E,1)/r! |
Ω |
0.26628925882395 |
Real period |
R |
0.55503859417323 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16530d1 |
Quadratic twists by: -3 |