Atkin-Lehner |
2- 5- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
51700m |
Isogeny class |
Conductor |
51700 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
25488 |
Modular degree for the optimal curve |
Δ |
-56870000 = -1 · 24 · 54 · 112 · 47 |
Discriminant |
Eigenvalues |
2- -3 5- 1 11- 0 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-625,6025] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-55:1] |
Generators of the group modulo torsion |
j |
-2700000000/5687 |
j-invariant |
L |
3.825331397647 |
L(r)(E,1)/r! |
Ω |
1.9862856640405 |
Real period |
R |
0.10699287359737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999727 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51700g1 |
Quadratic twists by: 5 |