Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50336h |
Isogeny class |
Conductor |
50336 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1943040 |
Modular degree for the optimal curve |
Δ |
5093756928200512 = 26 · 118 · 135 |
Discriminant |
Eigenvalues |
2+ 3 -4 -2 11- 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1819477,944637320] |
[a1,a2,a3,a4,a6] |
j |
48555895379904/371293 |
j-invariant |
L |
2.3199049514928 |
L(r)(E,1)/r! |
Ω |
0.38665082505171 |
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 |
50336j1 100672ej1 50336bb1 |
Quadratic twists by: -4 8 -11 |