Atkin-Lehner |
2+ 3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112200r |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
209920 |
Modular degree for the optimal curve |
Δ |
-3085500000000 = -1 · 28 · 3 · 59 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,292,-84588] |
[a1,a2,a3,a4,a6] |
Generators |
[95030:2618896:125] |
Generators of the group modulo torsion |
j |
5488/6171 |
j-invariant |
L |
6.8460277576823 |
L(r)(E,1)/r! |
Ω |
0.37230991543814 |
Real period |
R |
9.1939906029601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004357 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112200ct1 |
Quadratic twists by: 5 |