Atkin-Lehner |
2- 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
100100j |
Isogeny class |
Conductor |
100100 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1104000 |
Modular degree for the optimal curve |
Δ |
-93761866822624000 = -1 · 28 · 53 · 72 · 115 · 135 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 11+ 13- -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-194173,-36013383] |
[a1,a2,a3,a4,a6] |
j |
-25301279961473024/2930058338207 |
j-invariant |
L |
2.2596132760285 |
L(r)(E,1)/r! |
Ω |
0.11298066667083 |
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 |
100100m1 |
Quadratic twists by: 5 |