Atkin-Lehner |
2+ 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090bj |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
3144960 |
Modular degree for the optimal curve |
Δ |
-26766596935680 = -1 · 212 · 3 · 5 · 77 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 -5 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6445888,-6299545714] |
[a1,a2,a3,a4,a6] |
Generators |
[9073845:2438687687:125] |
Generators of the group modulo torsion |
j |
-55990740186526573089769/50598481920 |
j-invariant |
L |
5.9799727175357 |
L(r)(E,1)/r! |
Ω |
0.047374962397025 |
Real period |
R |
9.0161741174254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999676301 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111090v1 |
Quadratic twists by: -23 |