Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40898u |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-6612854164833401056 = -1 · 25 · 117 · 139 |
Discriminant |
Eigenvalues |
2+ -2 -3 -1 11- 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-133345,-125146188] |
[a1,a2,a3,a4,a6] |
j |
-30664297/773344 |
j-invariant |
L |
0.41120499503056 |
L(r)(E,1)/r! |
Ω |
0.10280124875857 |
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 |
3718q1 3146n1 |
Quadratic twists by: -11 13 |