Atkin-Lehner |
2+ 5- 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113050bh |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
547200 |
Modular degree for the optimal curve |
Δ |
-81678625000000 = -1 · 26 · 59 · 7 · 173 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ -5 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11701,-653952] |
[a1,a2,a3,a4,a6] |
Generators |
[427:8286:1] |
Generators of the group modulo torsion |
j |
-90700411157/41819456 |
j-invariant |
L |
2.313112043082 |
L(r)(E,1)/r! |
Ω |
0.2245358908475 |
Real period |
R |
0.85847897648158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999749188 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113050ct1 |
Quadratic twists by: 5 |