Atkin-Lehner |
2- 3- 5- 29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
35670k |
Isogeny class |
Conductor |
35670 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
3993600 |
Modular degree for the optimal curve |
Δ |
29343546506250000 = 24 · 34 · 58 · 292 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-97812655,372332698025] |
[a1,a2,a3,a4,a6] |
Generators |
[3710:244145:1] |
Generators of the group modulo torsion |
j |
103492494442226940466881867121/29343546506250000 |
j-invariant |
L |
10.67850461939 |
L(r)(E,1)/r! |
Ω |
0.2207446702389 |
Real period |
R |
1.0078107253802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
107010i1 |
Quadratic twists by: -3 |