Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
61152bx |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-211341312 = -1 · 212 · 34 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 13- 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,47,-673] |
[a1,a2,a3,a4,a6] |
Generators |
[11:36:1] |
Generators of the group modulo torsion |
j |
56000/1053 |
j-invariant |
L |
7.924596609445 |
L(r)(E,1)/r! |
Ω |
0.86510604516837 |
Real period |
R |
0.57251627226649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61152h1 122304l1 61152ba1 |
Quadratic twists by: -4 8 -7 |