Atkin-Lehner |
2+ 17- 101- |
Signs for the Atkin-Lehner involutions |
Class |
13736b |
Isogeny class |
Conductor |
13736 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2496 |
Modular degree for the optimal curve |
Δ |
127030528 = 28 · 173 · 101 |
Discriminant |
Eigenvalues |
2+ -1 0 -1 5 3 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-153,541] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:34:1] |
Generators of the group modulo torsion |
j |
1557376000/496213 |
j-invariant |
L |
3.9691428547831 |
L(r)(E,1)/r! |
Ω |
1.7139756154512 |
Real period |
R |
0.19297935255525 |
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 |
27472h1 109888h1 123624l1 |
Quadratic twists by: -4 8 -3 |