Atkin-Lehner |
5+ 13+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
127075d |
Isogeny class |
Conductor |
127075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-390199671875 = -1 · 56 · 13 · 174 · 23 |
Discriminant |
Eigenvalues |
0 -1 5+ 0 1 13+ 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1767,-9882] |
[a1,a2,a3,a4,a6] |
Generators |
[28:246:1] |
Generators of the group modulo torsion |
j |
39027212288/24972779 |
j-invariant |
L |
4.2246816995309 |
L(r)(E,1)/r! |
Ω |
0.54431555152434 |
Real period |
R |
1.9403642292387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999932448 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5083d1 |
Quadratic twists by: 5 |