Atkin-Lehner |
2+ 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
107690l |
Isogeny class |
Conductor |
107690 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
421200 |
Modular degree for the optimal curve |
Δ |
-6458119331840 = -1 · 213 · 5 · 116 · 89 |
Discriminant |
Eigenvalues |
2+ -3 5+ 0 11- 4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1490,-120620] |
[a1,a2,a3,a4,a6] |
Generators |
[334:747:8] |
Generators of the group modulo torsion |
j |
206425071/3645440 |
j-invariant |
L |
2.1143102762159 |
L(r)(E,1)/r! |
Ω |
0.36631236456736 |
Real period |
R |
5.7718779017168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000161017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
890f1 |
Quadratic twists by: -11 |