Atkin-Lehner |
2- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
11248g |
Isogeny class |
Conductor |
11248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
102535858081792 = 212 · 192 · 375 |
Discriminant |
Eigenvalues |
2- -3 -2 1 -3 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11776,-67664] |
[a1,a2,a3,a4,a6] |
j |
44091731607552/25033168477 |
j-invariant |
L |
0.98976352921475 |
L(r)(E,1)/r! |
Ω |
0.49488176460737 |
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 |
703a1 44992bo1 101232u1 |
Quadratic twists by: -4 8 -3 |