Atkin-Lehner |
2+ 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550ca |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
41287680 |
Modular degree for the optimal curve |
Δ |
-1.3226564495874E+28 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,105809958,-5517412423884] |
[a1,a2,a3,a4,a6] |
j |
11501534367688741509671/1161179873437500000000 |
j-invariant |
L |
2.2675325106445 |
L(r)(E,1)/r! |
Ω |
0.018896104272742 |
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 |
17850bz1 10710bi1 |
Quadratic twists by: -3 5 |