Atkin-Lehner |
2- 3+ 23+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
113712g |
Isogeny class |
Conductor |
113712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-3942229475328 = -1 · 220 · 3 · 233 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 2 -3 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-180048,-29345856] |
[a1,a2,a3,a4,a6] |
j |
-157590880063548625/962458368 |
j-invariant |
L |
0.46353466042764 |
L(r)(E,1)/r! |
Ω |
0.11588363871681 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14214g1 |
Quadratic twists by: -4 |