Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
72600ei |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
861696 |
Modular degree for the optimal curve |
Δ |
-244472016602880000 = -1 · 211 · 34 · 54 · 119 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ -5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,144192,-10986912] |
[a1,a2,a3,a4,a6] |
j |
109850/81 |
j-invariant |
L |
1.4004972302586 |
L(r)(E,1)/r! |
Ω |
0.17506215262744 |
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 |
72600d1 72600bw1 |
Quadratic twists by: 5 -11 |