Atkin-Lehner |
2+ 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330i |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-12582205009920 = -1 · 212 · 39 · 5 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 3 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-47049,-3919987] |
[a1,a2,a3,a4,a6] |
Generators |
[514:10111:1] |
Generators of the group modulo torsion |
j |
-243723071907/266240 |
j-invariant |
L |
5.3143842900654 |
L(r)(E,1)/r! |
Ω |
0.1620701677471 |
Real period |
R |
2.7325532123414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57330db1 57330d2 |
Quadratic twists by: -3 -7 |