Atkin-Lehner |
3- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
113925ct |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
189 |
Product of Tamagawa factors cp |
deg |
19051200 |
Modular degree for the optimal curve |
Δ |
7.3021777060751E+23 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ -5 -2 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-23655388,16451633267] |
[a1,a2,a3,a4,a6] |
Generators |
[5051:158219:1] [-31034:1801567:8] |
Generators of the group modulo torsion |
j |
650084162720545/324270949293 |
j-invariant |
L |
8.5718399013374 |
L(r)(E,1)/r! |
Ω |
0.079855817311774 |
Real period |
R |
0.56794422508606 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999997768 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113925e1 113925bk1 |
Quadratic twists by: 5 -7 |