Atkin-Lehner |
2- 5- 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
101680ba |
Isogeny class |
Conductor |
101680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-224252392960000 = -1 · 212 · 54 · 31 · 414 |
Discriminant |
Eigenvalues |
2- 0 5- 0 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2507,722106] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:820:1] |
Generators of the group modulo torsion |
j |
-425428681761/54749119375 |
j-invariant |
L |
7.6199928771719 |
L(r)(E,1)/r! |
Ω |
0.45845436043482 |
Real period |
R |
1.0388156257858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031369 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6355d1 |
Quadratic twists by: -4 |