Atkin-Lehner |
2- 3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
77910co |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-195003918198620160 = -1 · 214 · 3 · 5 · 710 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-74040,-22623168] |
[a1,a2,a3,a4,a6] |
Generators |
[800272:-16718312:1331] |
Generators of the group modulo torsion |
j |
-381535601691889/1657505955840 |
j-invariant |
L |
13.196037182817 |
L(r)(E,1)/r! |
Ω |
0.13153801534423 |
Real period |
R |
7.1657922000388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001323 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130x1 |
Quadratic twists by: -7 |