Atkin-Lehner |
2+ 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
41200r |
Isogeny class |
Conductor |
41200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-3218750000 = -1 · 24 · 59 · 103 |
Discriminant |
Eigenvalues |
2+ -3 5- -2 6 4 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-250,-3125] |
[a1,a2,a3,a4,a6] |
j |
-55296/103 |
j-invariant |
L |
1.1311369547222 |
L(r)(E,1)/r! |
Ω |
0.56556847730316 |
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 |
20600x1 41200x1 |
Quadratic twists by: -4 5 |