Atkin-Lehner |
3+ 5+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109725a |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-4233396234375 = -1 · 33 · 56 · 7 · 11 · 194 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 11+ -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1925,-105000] |
[a1,a2,a3,a4,a6] |
Generators |
[70932:3600526:27] |
Generators of the group modulo torsion |
j |
-50529889873/270937359 |
j-invariant |
L |
4.6288469435578 |
L(r)(E,1)/r! |
Ω |
0.3242004931037 |
Real period |
R |
7.1388646888901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000083996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4389f1 |
Quadratic twists by: 5 |