Atkin-Lehner |
2- 5- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
40150be |
Isogeny class |
Conductor |
40150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-915921875000 = -1 · 23 · 59 · 11 · 732 |
Discriminant |
Eigenvalues |
2- -1 5- 3 11+ 2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1487,41031] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:132:1] |
Generators of the group modulo torsion |
j |
186169411/468952 |
j-invariant |
L |
8.1800629499867 |
L(r)(E,1)/r! |
Ω |
0.61832579623861 |
Real period |
R |
1.1024477979823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40150l1 |
Quadratic twists by: 5 |