Atkin-Lehner |
2+ 3- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850bn |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-1106622000000 = -1 · 27 · 37 · 56 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11+ -1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2358,-25484] |
[a1,a2,a3,a4,a6] |
Generators |
[59:533:1] |
Generators of the group modulo torsion |
j |
127263527/97152 |
j-invariant |
L |
3.4821865451981 |
L(r)(E,1)/r! |
Ω |
0.48608647412106 |
Real period |
R |
1.7909295559536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37950cb1 4554ba1 |
Quadratic twists by: -3 5 |