Atkin-Lehner |
2+ 3- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
71994w |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
124405632 = 27 · 34 · 132 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 0 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2357,-44224] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:15:1] |
Generators of the group modulo torsion |
j |
8563491249313/736128 |
j-invariant |
L |
4.7968053818423 |
L(r)(E,1)/r! |
Ω |
0.68522622169925 |
Real period |
R |
1.7500809329061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001146 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71994br1 |
Quadratic twists by: 13 |