Atkin-Lehner |
3- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48279o |
Isogeny class |
Conductor |
48279 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1833300045361545453 = 312 · 7 · 1110 · 19 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 11- -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-308190,9610423] |
[a1,a2,a3,a4,a6] |
j |
1827347754908593/1034850081573 |
j-invariant |
L |
2.7268136834169 |
L(r)(E,1)/r! |
Ω |
0.22723447365958 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4389f4 |
Quadratic twists by: -11 |