Atkin-Lehner |
3- 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78771l |
Isogeny class |
Conductor |
78771 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
696960 |
Modular degree for the optimal curve |
Δ |
93480027862354749 = 33 · 75 · 118 · 312 |
Discriminant |
Eigenvalues |
0 3- 1 7+ 11- 6 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-131325,10871768] |
[a1,a2,a3,a4,a6] |
Generators |
[582:11485:1] |
Generators of the group modulo torsion |
j |
1168497442816/436091229 |
j-invariant |
L |
7.5591720052632 |
L(r)(E,1)/r! |
Ω |
0.3091040284656 |
Real period |
R |
4.0758511215705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982041 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78771s1 |
Quadratic twists by: -11 |