Atkin-Lehner |
2- 3+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
108360ba |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
229376 |
Modular degree for the optimal curve |
Δ |
-1198651230000 = -1 · 24 · 33 · 54 · 74 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 2 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1482,57069] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:273:1] [-2:245:1] |
Generators of the group modulo torsion |
j |
-833267755008/2774655625 |
j-invariant |
L |
12.235209346419 |
L(r)(E,1)/r! |
Ω |
0.75858915838947 |
Real period |
R |
0.50402815269348 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999978877 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108360e1 |
Quadratic twists by: -3 |