Atkin-Lehner |
2+ 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
41200q |
Isogeny class |
Conductor |
41200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-65920000 = -1 · 210 · 54 · 103 |
Discriminant |
Eigenvalues |
2+ -2 5- -3 -4 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,388] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:-20:1] [-6:16:1] |
Generators of the group modulo torsion |
j |
-100/103 |
j-invariant |
L |
5.8459834355437 |
L(r)(E,1)/r! |
Ω |
1.5806977737302 |
Real period |
R |
0.30819635125162 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20600w1 41200j1 |
Quadratic twists by: -4 5 |