Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
72600bw |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-137998080000 = -1 · 211 · 34 · 54 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ 5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1192,8688] |
[a1,a2,a3,a4,a6] |
Generators |
[7:132:1] |
Generators of the group modulo torsion |
j |
109850/81 |
j-invariant |
L |
9.0458766553469 |
L(r)(E,1)/r! |
Ω |
0.66046598204925 |
Real period |
R |
1.7120254679904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999193 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72600ci1 72600ei1 |
Quadratic twists by: 5 -11 |