Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
70644k |
Isogeny class |
Conductor |
70644 |
Conductor |
∏ cp |
567 |
Product of Tamagawa factors cp |
deg |
17100720 |
Modular degree for the optimal curve |
Δ |
2.8717354874565E+25 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 0 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-112254437,-378301696596] |
[a1,a2,a3,a4,a6] |
Generators |
[-7289:229593:1] |
Generators of the group modulo torsion |
j |
19544758039871488/3587901148629 |
j-invariant |
L |
5.3520098376517 |
L(r)(E,1)/r! |
Ω |
0.046968999515544 |
Real period |
R |
1.8086937762082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000835 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
70644e1 |
Quadratic twists by: 29 |