Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
77400bb |
Isogeny class |
Conductor |
77400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-3702018006000000000 = -1 · 210 · 316 · 59 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,257325,77750750] |
[a1,a2,a3,a4,a6] |
Generators |
[-1520905:191203200:24389] |
Generators of the group modulo torsion |
j |
161555647964/317388375 |
j-invariant |
L |
6.5438190154504 |
L(r)(E,1)/r! |
Ω |
0.17183999675134 |
Real period |
R |
9.520221047428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25800b1 15480f1 |
Quadratic twists by: -3 5 |