Atkin-Lehner |
2+ 3+ 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
110838c |
Isogeny class |
Conductor |
110838 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
42624 |
Modular degree for the optimal curve |
Δ |
-65172744 = -1 · 23 · 32 · 74 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 0 13- 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-368,-2904] |
[a1,a2,a3,a4,a6] |
j |
-2305248169/27144 |
j-invariant |
L |
1.0888785770014 |
L(r)(E,1)/r! |
Ω |
0.54443932117132 |
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 |
110838w1 |
Quadratic twists by: -7 |