Atkin-Lehner |
2- 3+ 5- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
79050bt |
Isogeny class |
Conductor |
79050 |
Conductor |
∏ cp |
220 |
Product of Tamagawa factors cp |
deg |
4329600 |
Modular degree for the optimal curve |
Δ |
-8.93573061012E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -3 -6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1333862,-1309738969] |
[a1,a2,a3,a4,a6] |
Generators |
[985:-31493:1] [6630:149681:8] |
Generators of the group modulo torsion |
j |
134377437001389427/457509407238144 |
j-invariant |
L |
12.732197707506 |
L(r)(E,1)/r! |
Ω |
0.080366257797709 |
Real period |
R |
0.72012343897662 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79050bf1 |
Quadratic twists by: 5 |