Atkin-Lehner |
2+ 3+ 5+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104550d |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-37930432204800 = -1 · 212 · 312 · 52 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -6 4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6315,-356355] |
[a1,a2,a3,a4,a6] |
j |
-1114323321190945/1517217288192 |
j-invariant |
L |
1.0200420202838 |
L(r)(E,1)/r! |
Ω |
0.25501043620445 |
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 |
104550cj1 |
Quadratic twists by: 5 |