Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121380bg |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
840 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
5.7737819347031E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1173725,325027500] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:21675:1] |
Generators of the group modulo torsion |
j |
463030539649024/149501953125 |
j-invariant |
L |
11.078523335983 |
L(r)(E,1)/r! |
Ω |
0.18287626039576 |
Real period |
R |
0.28847305055027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
420a1 |
Quadratic twists by: 17 |