Atkin-Lehner |
2+ 3+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
49818c |
Isogeny class |
Conductor |
49818 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
492480 |
Modular degree for the optimal curve |
Δ |
-15524878778534592 = -1 · 26 · 33 · 198 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 2 1 -4 3 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6144,-6000192] |
[a1,a2,a3,a4,a6] |
j |
-1510633/914112 |
j-invariant |
L |
2.1210223160909 |
L(r)(E,1)/r! |
Ω |
0.17675185969884 |
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 |
49818bh1 |
Quadratic twists by: -19 |