Atkin-Lehner |
2- 3+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
101136y |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-493456635076608 = -1 · 213 · 35 · 78 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -2 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61168,5940544] |
[a1,a2,a3,a4,a6] |
j |
-1071912625/20898 |
j-invariant |
L |
1.0481690325953 |
L(r)(E,1)/r! |
Ω |
0.5240843426658 |
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 |
12642be1 101136cf1 |
Quadratic twists by: -4 -7 |