Atkin-Lehner |
2+ 3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850cy |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-34581937500000 = -1 · 25 · 37 · 59 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- 4 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3258,272916] |
[a1,a2,a3,a4,a6] |
Generators |
[102:4449:8] |
Generators of the group modulo torsion |
j |
2685619/24288 |
j-invariant |
L |
4.8707426695056 |
L(r)(E,1)/r! |
Ω |
0.47895483659881 |
Real period |
R |
2.5423809859931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999807678 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37950dg1 113850fy1 |
Quadratic twists by: -3 5 |