Atkin-Lehner |
2- 3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
77910cp |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-25697816948160 = -1 · 26 · 35 · 5 · 76 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5685,293985] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-483:1] |
Generators of the group modulo torsion |
j |
-172715635009/218427840 |
j-invariant |
L |
12.718961856802 |
L(r)(E,1)/r! |
Ω |
0.60542269019939 |
Real period |
R |
0.70027998956798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001172 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1590j1 |
Quadratic twists by: -7 |