Atkin-Lehner |
2+ 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742s |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1317888 |
Modular degree for the optimal curve |
Δ |
223668594765766656 = 213 · 36 · 11 · 237 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 11- -3 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-409545,98381709] |
[a1,a2,a3,a4,a6] |
j |
70393838689/2072576 |
j-invariant |
L |
1.2530480314381 |
L(r)(E,1)/r! |
Ω |
0.31326205115917 |
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 |
11638q1 4554h1 |
Quadratic twists by: -3 -23 |