Atkin-Lehner |
2- 3+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62832bi |
Isogeny class |
Conductor |
62832 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
2188800 |
Modular degree for the optimal curve |
Δ |
3.253081623781E+20 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2888457,1679409900] |
[a1,a2,a3,a4,a6] |
Generators |
[-388:52360:1] |
Generators of the group modulo torsion |
j |
166571846396273551065088/20331760148631367821 |
j-invariant |
L |
6.3206687520775 |
L(r)(E,1)/r! |
Ω |
0.16557560057991 |
Real period |
R |
2.5449276060587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999906 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15708e1 |
Quadratic twists by: -4 |