Atkin-Lehner |
2- 7+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
30212a |
Isogeny class |
Conductor |
30212 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
11808 |
Modular degree for the optimal curve |
Δ |
-94744832 = -1 · 28 · 73 · 13 · 83 |
Discriminant |
Eigenvalues |
2- -1 4 7+ 4 13- -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,84,-392] |
[a1,a2,a3,a4,a6] |
j |
253012016/370097 |
j-invariant |
L |
3.0225321637503 |
L(r)(E,1)/r! |
Ω |
1.0075107212506 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120848j1 |
Quadratic twists by: -4 |