Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101400de |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-8809891786800 = -1 · 24 · 33 · 52 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -2 13+ 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7323,-282762] |
[a1,a2,a3,a4,a6] |
Generators |
[267:4107:1] |
Generators of the group modulo torsion |
j |
-133120/27 |
j-invariant |
L |
7.1735140069877 |
L(r)(E,1)/r! |
Ω |
0.25525768845035 |
Real period |
R |
4.683838036867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999787953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101400w1 101400bh1 |
Quadratic twists by: 5 13 |