Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230eo |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
54146731802278500 = 22 · 38 · 53 · 7 · 119 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26420252,-52263518821] |
[a1,a2,a3,a4,a6] |
Generators |
[1282792992:250857987239:32768] |
Generators of the group modulo torsion |
j |
1579250141304807889/41926500 |
j-invariant |
L |
10.814761663451 |
L(r)(E,1)/r! |
Ω |
0.066590966417124 |
Real period |
R |
13.53381978016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001608 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410x3 6930q3 |
Quadratic twists by: -3 -11 |