Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111720bi |
Isogeny class |
Conductor |
111720 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
-76525624741386240 = -1 · 211 · 33 · 5 · 79 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 1 -1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-83120,16220940] |
[a1,a2,a3,a4,a6] |
Generators |
[2581:130340:1] |
Generators of the group modulo torsion |
j |
-768481166/925965 |
j-invariant |
L |
5.6356621518684 |
L(r)(E,1)/r! |
Ω |
0.31135443606267 |
Real period |
R |
3.0167452792774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001462 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111720bn1 |
Quadratic twists by: -7 |