Atkin-Lehner |
2- 3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113850ec |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1589760 |
Modular degree for the optimal curve |
Δ |
-565965827753906250 = -1 · 2 · 39 · 510 · 112 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11+ 6 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-278555,67242197] |
[a1,a2,a3,a4,a6] |
Generators |
[-9706762:132079371:17576] |
Generators of the group modulo torsion |
j |
-335758915825/79499178 |
j-invariant |
L |
13.467014127073 |
L(r)(E,1)/r! |
Ω |
0.2777421438599 |
Real period |
R |
12.121867684909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039729 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37950bk1 113850cp1 |
Quadratic twists by: -3 5 |