Atkin-Lehner |
3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
11109a |
Isogeny class |
Conductor |
11109 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
231840 |
Modular degree for the optimal curve |
Δ |
-1351118458622516283 = -1 · 37 · 73 · 239 |
Discriminant |
Eigenvalues |
-2 3+ -2 7+ 3 4 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,247396,-29820754] |
[a1,a2,a3,a4,a6] |
j |
929714176/750141 |
j-invariant |
L |
0.30049597781352 |
L(r)(E,1)/r! |
Ω |
0.15024798890676 |
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 |
33327k1 77763be1 11109b1 |
Quadratic twists by: -3 -7 -23 |