Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230er |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
Δ |
-1234926000000 = -1 · 27 · 36 · 56 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 7 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5837162,-5426676439] |
[a1,a2,a3,a4,a6] |
Generators |
[5881:401559:1] |
Generators of the group modulo torsion |
j |
-249353795628717731809/14000000 |
j-invariant |
L |
10.789816902516 |
L(r)(E,1)/r! |
Ω |
0.048564523081654 |
Real period |
R |
5.2898780032229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000211 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470d2 76230cr2 |
Quadratic twists by: -3 -11 |