Atkin-Lehner |
2+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
11536d |
Isogeny class |
Conductor |
11536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-5168128 = -1 · 210 · 72 · 103 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16,-112] |
[a1,a2,a3,a4,a6] |
Generators |
[22:102:1] |
Generators of the group modulo torsion |
j |
415292/5047 |
j-invariant |
L |
5.9852613729586 |
L(r)(E,1)/r! |
Ω |
1.1895983554883 |
Real period |
R |
2.5156647810351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5768a1 46144v1 103824p1 80752e1 |
Quadratic twists by: -4 8 -3 -7 |