Atkin-Lehner |
2- 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29520bf |
Isogeny class |
Conductor |
29520 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-7443468000000 = -1 · 28 · 33 · 56 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -3 -4 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12192,534524] |
[a1,a2,a3,a4,a6] |
Generators |
[218:2870:1] [58:-150:1] |
Generators of the group modulo torsion |
j |
-28996450910208/1076890625 |
j-invariant |
L |
8.1504461398754 |
L(r)(E,1)/r! |
Ω |
0.73797146723588 |
Real period |
R |
0.15339433278581 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7380d1 118080dh1 29520w2 |
Quadratic twists by: -4 8 -3 |