Atkin-Lehner |
2- 3+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
35376n |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-63995184 = -1 · 24 · 34 · 11 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11+ -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-197,1200] |
[a1,a2,a3,a4,a6] |
j |
-53113520128/3999699 |
j-invariant |
L |
1.9272307101816 |
L(r)(E,1)/r! |
Ω |
1.9272307101765 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8844e1 106128bt1 |
Quadratic twists by: -4 -3 |