Atkin-Lehner |
2+ 3- 5- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
70110y |
Isogeny class |
Conductor |
70110 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-8383348914750 = -1 · 2 · 316 · 53 · 19 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -5 -1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,81,-139325] |
[a1,a2,a3,a4,a6] |
Generators |
[311:5312:1] |
Generators of the group modulo torsion |
j |
80062991/11499792750 |
j-invariant |
L |
3.7465894332311 |
L(r)(E,1)/r! |
Ω |
0.33835602201855 |
Real period |
R |
0.9227433997744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000354 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23370j1 |
Quadratic twists by: -3 |