Atkin-Lehner |
2- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
73696h |
Isogeny class |
Conductor |
73696 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
931433721344 = 29 · 77 · 472 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2891,-37730] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:98:1] |
Generators of the group modulo torsion |
j |
44361864/15463 |
j-invariant |
L |
4.2847046937332 |
L(r)(E,1)/r! |
Ω |
0.66967749191276 |
Real period |
R |
1.5995403556246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987433 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73696c2 10528h2 |
Quadratic twists by: -4 -7 |