Atkin-Lehner |
2+ 3+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
49818b |
Isogeny class |
Conductor |
49818 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
231133380083712 = 218 · 35 · 193 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 6 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-47640,3915072] |
[a1,a2,a3,a4,a6] |
j |
1743381413738875/33697824768 |
j-invariant |
L |
1.1162679453677 |
L(r)(E,1)/r! |
Ω |
0.55813397269812 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49818be1 |
Quadratic twists by: -19 |