Atkin-Lehner |
2- 3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
121200dz |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
191520 |
Modular degree for the optimal curve |
Δ |
-1893750000 = -1 · 24 · 3 · 58 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -5 -6 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13458,596463] |
[a1,a2,a3,a4,a6] |
j |
-43133781760/303 |
j-invariant |
L |
1.3244167335402 |
L(r)(E,1)/r! |
Ω |
1.3244174835554 |
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 |
30300e1 121200by1 |
Quadratic twists by: -4 5 |