Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15048h |
Isogeny class |
Conductor |
15048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-267531289344 = -1 · 28 · 36 · 11 · 194 |
Discriminant |
Eigenvalues |
2- 3- 3 2 11- 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5556,161332] |
[a1,a2,a3,a4,a6] |
j |
-101634915328/1433531 |
j-invariant |
L |
3.9322708247548 |
L(r)(E,1)/r! |
Ω |
0.98306770618869 |
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 |
30096f1 120384be1 1672b1 |
Quadratic twists by: -4 8 -3 |