Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40898h |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
58796866393408 = 26 · 114 · 137 |
Discriminant |
Eigenvalues |
2+ 1 0 -2 11- 13+ 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10651,206182] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:808:1] [-25:688:1] |
Generators of the group modulo torsion |
j |
1890625/832 |
j-invariant |
L |
7.5590555946843 |
L(r)(E,1)/r! |
Ω |
0.56273771498884 |
Real period |
R |
1.6790805452843 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40898bh1 3146o1 |
Quadratic twists by: -11 13 |