Atkin-Lehner |
2- 3+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570bu |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-53778957926400 = -1 · 216 · 32 · 52 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2939,348683] |
[a1,a2,a3,a4,a6] |
Generators |
[167:-2436:1] [-49:324:1] |
Generators of the group modulo torsion |
j |
23862997439/457113600 |
j-invariant |
L |
10.668792713916 |
L(r)(E,1)/r! |
Ω |
0.47026349018415 |
Real period |
R |
0.3544818801257 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
930o1 |
Quadratic twists by: -7 |