Atkin-Lehner |
2- 3- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
69678be |
Isogeny class |
Conductor |
69678 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
48566952870912 = 210 · 36 · 77 · 79 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9785,-159911] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:464:1] |
Generators of the group modulo torsion |
j |
1207949625/566272 |
j-invariant |
L |
10.015312480009 |
L(r)(E,1)/r! |
Ω |
0.50236535576966 |
Real period |
R |
0.49840780043357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000681 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7742d1 9954i1 |
Quadratic twists by: -3 -7 |