Atkin-Lehner |
2- 5+ 23+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
102350r |
Isogeny class |
Conductor |
102350 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
6090240 |
Modular degree for the optimal curve |
Δ |
-1833070486400000000 = -1 · 213 · 58 · 235 · 89 |
Discriminant |
Eigenvalues |
2- 3 5+ 3 3 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6022230,5690199397] |
[a1,a2,a3,a4,a6] |
j |
-1545879480335621867241/117316511129600 |
j-invariant |
L |
13.075783099183 |
L(r)(E,1)/r! |
Ω |
0.25145736751724 |
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 |
20470f1 |
Quadratic twists by: 5 |