Atkin-Lehner |
2+ 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55104l |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
698880 |
Modular degree for the optimal curve |
Δ |
-197529864634368 = -1 · 217 · 37 · 75 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 3 -4 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3808833,-2859850431] |
[a1,a2,a3,a4,a6] |
j |
-46621870486238281250/1507033269 |
j-invariant |
L |
0.5403455314293 |
L(r)(E,1)/r! |
Ω |
0.054034553340332 |
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 |
55104cs1 6888b1 |
Quadratic twists by: -4 8 |