Atkin-Lehner |
2- 3- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
109956z |
Isogeny class |
Conductor |
109956 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
606816 |
Modular degree for the optimal curve |
Δ |
-37400402172672 = -1 · 28 · 32 · 72 · 117 · 17 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 11+ -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42261,3342807] |
[a1,a2,a3,a4,a6] |
j |
-665452791463936/2981537163 |
j-invariant |
L |
3.9160482454953 |
L(r)(E,1)/r! |
Ω |
0.65267462579955 |
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 |
109956b1 |
Quadratic twists by: -7 |