Atkin-Lehner |
3- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48279s |
Isogeny class |
Conductor |
48279 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
45696 |
Modular degree for the optimal curve |
Δ |
331145661 = 3 · 7 · 112 · 194 |
Discriminant |
Eigenvalues |
2 3- -1 7+ 11- -2 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1426,-21191] |
[a1,a2,a3,a4,a6] |
j |
2652170481664/2736741 |
j-invariant |
L |
3.1076435163341 |
L(r)(E,1)/r! |
Ω |
0.77691087904462 |
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 |
48279w1 |
Quadratic twists by: -11 |