Atkin-Lehner |
2+ 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810bl |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
50176 |
Modular degree for the optimal curve |
Δ |
835319664900 = 22 · 32 · 52 · 79 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2623,-27394] |
[a1,a2,a3,a4,a6] |
j |
49430863/20700 |
j-invariant |
L |
2.7698221014614 |
L(r)(E,1)/r! |
Ω |
0.69245552536609 |
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 |
101430ed1 33810d1 |
Quadratic twists by: -3 -7 |