Atkin-Lehner |
2- 3- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
69678bd |
Isogeny class |
Conductor |
69678 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
92469952512 = 215 · 36 · 72 · 79 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -5 2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1721,-22823] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:-28:1] [-25:76:1] |
Generators of the group modulo torsion |
j |
15772702617/2588672 |
j-invariant |
L |
13.404951400545 |
L(r)(E,1)/r! |
Ω |
0.74951551395667 |
Real period |
R |
0.59616072653905 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999729 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7742b1 69678w1 |
Quadratic twists by: -3 -7 |