Atkin-Lehner |
2+ 3- 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
30906g |
Isogeny class |
Conductor |
30906 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-127672686 = -1 · 2 · 37 · 172 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 1 0 0 -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,126,-54] |
[a1,a2,a3,a4,a6] |
Generators |
[1:8:1] |
Generators of the group modulo torsion |
j |
302111711/175134 |
j-invariant |
L |
4.5166004157936 |
L(r)(E,1)/r! |
Ω |
1.1010136933398 |
Real period |
R |
1.0255550051546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10302f1 |
Quadratic twists by: -3 |