Atkin-Lehner |
2- 3- 5- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
52290ch |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-2553702662109375000 = -1 · 23 · 38 · 512 · 74 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,143293,73960539] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:8576:1] |
Generators of the group modulo torsion |
j |
446348367643738391/3503021484375000 |
j-invariant |
L |
9.5697075265605 |
L(r)(E,1)/r! |
Ω |
0.18741987028621 |
Real period |
R |
1.4183405882464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430a4 |
Quadratic twists by: -3 |