Atkin-Lehner |
2- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
68276d |
Isogeny class |
Conductor |
68276 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
92736 |
Modular degree for the optimal curve |
Δ |
1318220845136 = 24 · 138 · 101 |
Discriminant |
Eigenvalues |
2- 2 2 0 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4957,-120810] |
[a1,a2,a3,a4,a6] |
Generators |
[163965:12775555:27] |
Generators of the group modulo torsion |
j |
174456832/17069 |
j-invariant |
L |
11.346385514278 |
L(r)(E,1)/r! |
Ω |
0.57254743986447 |
Real period |
R |
6.6057906147642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5252a1 |
Quadratic twists by: 13 |