Atkin-Lehner |
2- 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
123600ct |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-15735268800000000 = -1 · 212 · 32 · 58 · 1033 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -2 7 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-152208,-23690412] |
[a1,a2,a3,a4,a6] |
j |
-243735630385/9834543 |
j-invariant |
L |
3.8581956038762 |
L(r)(E,1)/r! |
Ω |
0.12056865396955 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7725h1 123600bg1 |
Quadratic twists by: -4 5 |