Atkin-Lehner |
2+ 3- 7- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
109746i |
Isogeny class |
Conductor |
109746 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129280 |
Modular degree for the optimal curve |
Δ |
-144728744706 = -1 · 2 · 311 · 7 · 13 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -3 13+ 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1206,-8978] |
[a1,a2,a3,a4,a6] |
j |
265971760991/198530514 |
j-invariant |
L |
2.3097483037511 |
L(r)(E,1)/r! |
Ω |
0.5774370655901 |
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 |
36582k1 |
Quadratic twists by: -3 |