Atkin-Lehner |
2+ 3+ 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
30906c |
Isogeny class |
Conductor |
30906 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23616 |
Modular degree for the optimal curve |
Δ |
107182008 = 23 · 33 · 173 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 4 4 2 -2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-780,8568] |
[a1,a2,a3,a4,a6] |
j |
1945167082587/3969704 |
j-invariant |
L |
3.7674362545888 |
L(r)(E,1)/r! |
Ω |
1.8837181272948 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30906j1 |
Quadratic twists by: -3 |