Atkin-Lehner |
2- 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119646br |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-4720591320949872 = -1 · 24 · 312 · 176 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-92390,-11280027] |
[a1,a2,a3,a4,a6] |
Generators |
[299891:164076987:1] |
Generators of the group modulo torsion |
j |
-4956477625/268272 |
j-invariant |
L |
10.20436187167 |
L(r)(E,1)/r! |
Ω |
0.13648951008608 |
Real period |
R |
9.345371844544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000073103 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39882f1 414a1 |
Quadratic twists by: -3 17 |