Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11830p |
Isogeny class |
Conductor |
11830 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
3556224 |
Modular degree for the optimal curve |
Δ |
-1.0509151040527E+25 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 3 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-97757631,403390673945] |
[a1,a2,a3,a4,a6] |
j |
-21405018343206000779641/2177246093750000000 |
j-invariant |
L |
3.9418350966965 |
L(r)(E,1)/r! |
Ω |
0.070389912441009 |
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 |
94640ce1 106470cl1 59150m1 82810cn1 |
Quadratic twists by: -4 -3 5 -7 |