Atkin-Lehner |
2+ 3+ 5- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
104550q |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
85008 |
Modular degree for the optimal curve |
Δ |
-1905423750 = -1 · 2 · 37 · 54 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 3 1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-450,4050] |
[a1,a2,a3,a4,a6] |
j |
-16180365625/3048678 |
j-invariant |
L |
1.420804938061 |
L(r)(E,1)/r! |
Ω |
1.4208054108317 |
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 |
104550ca1 |
Quadratic twists by: 5 |