Atkin-Lehner |
2- 5+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
40150x |
Isogeny class |
Conductor |
40150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-9716300 = -1 · 22 · 52 · 113 · 73 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 11- 1 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,27,151] |
[a1,a2,a3,a4,a6] |
Generators |
[11:38:1] |
Generators of the group modulo torsion |
j |
86869895/388652 |
j-invariant |
L |
8.1223815288007 |
L(r)(E,1)/r! |
Ω |
1.6455711466959 |
Real period |
R |
0.82265069943546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40150q1 |
Quadratic twists by: 5 |