Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600dw |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
-512428166784000000 = -1 · 213 · 317 · 56 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 3 -3 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300675,-72202750] |
[a1,a2,a3,a4,a6] |
Generators |
[1607771:48488184:1331] |
Generators of the group modulo torsion |
j |
-64432972729/10983114 |
j-invariant |
L |
7.6538334715593 |
L(r)(E,1)/r! |
Ω |
0.10099907350951 |
Real period |
R |
9.4726530414198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032239 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13950y1 37200bk1 4464r1 |
Quadratic twists by: -4 -3 5 |