Atkin-Lehner |
3- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
10413h |
Isogeny class |
Conductor |
10413 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-1853066241 = -1 · 36 · 134 · 89 |
Discriminant |
Eigenvalues |
1 3- -3 -4 -2 13+ 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,54,-2079] |
[a1,a2,a3,a4,a6] |
Generators |
[112:1127:1] |
Generators of the group modulo torsion |
j |
23639903/2541929 |
j-invariant |
L |
3.123026921415 |
L(r)(E,1)/r! |
Ω |
0.70339114950735 |
Real period |
R |
2.2199788294197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1157b1 |
Quadratic twists by: -3 |