Atkin-Lehner |
7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10241b |
Isogeny class |
Conductor |
10241 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-80816841259 = -1 · 74 · 116 · 19 |
Discriminant |
Eigenvalues |
0 -2 3 7+ 11+ 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9179,-341841] |
[a1,a2,a3,a4,a6] |
j |
-35625828646912/33659659 |
j-invariant |
L |
1.4631653887375 |
L(r)(E,1)/r! |
Ω |
0.24386089812291 |
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 |
92169i2 10241c2 112651a2 |
Quadratic twists by: -3 -7 -11 |