Atkin-Lehner |
3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
6909c |
Isogeny class |
Conductor |
6909 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9240 |
Modular degree for the optimal curve |
Δ |
12093023061 = 37 · 76 · 47 |
Discriminant |
Eigenvalues |
-2 3+ 3 7- -5 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-604,-1968] |
[a1,a2,a3,a4,a6] |
j |
207474688/102789 |
j-invariant |
L |
1.0132047880774 |
L(r)(E,1)/r! |
Ω |
1.0132047880774 |
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 |
110544eh1 20727t1 141a1 |
Quadratic twists by: -4 -3 -7 |