Atkin-Lehner |
3- 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
49245ba |
Isogeny class |
Conductor |
49245 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
458304 |
Modular degree for the optimal curve |
Δ |
-83816401915460025 = -1 · 311 · 52 · 710 · 67 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -2 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5952,-13927469] |
[a1,a2,a3,a4,a6] |
Generators |
[365:5892:1] |
Generators of the group modulo torsion |
j |
82572791/296721225 |
j-invariant |
L |
8.6361368580102 |
L(r)(E,1)/r! |
Ω |
0.15822146174521 |
Real period |
R |
2.4810267269205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49245a1 |
Quadratic twists by: -7 |