Atkin-Lehner |
2+ 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
48544a |
Isogeny class |
Conductor |
48544 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29696 |
Modular degree for the optimal curve |
Δ |
-6213632 = -1 · 212 · 37 · 41 |
Discriminant |
Eigenvalues |
2+ 1 0 4 -3 5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8913,320927] |
[a1,a2,a3,a4,a6] |
j |
-19119838024000/1517 |
j-invariant |
L |
3.6374593333817 |
L(r)(E,1)/r! |
Ω |
1.8187296667807 |
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 |
48544c1 97088b1 |
Quadratic twists by: -4 8 |