Atkin-Lehner |
2- 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
31950ct |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
318007296000 = 214 · 37 · 53 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2120,26507] |
[a1,a2,a3,a4,a6] |
Generators |
[45:121:1] [-27:265:1] |
Generators of the group modulo torsion |
j |
11558505581/3489792 |
j-invariant |
L |
10.965033754345 |
L(r)(E,1)/r! |
Ω |
0.89598314347196 |
Real period |
R |
0.43707111146308 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10650q1 31950bi1 |
Quadratic twists by: -3 5 |