Atkin-Lehner |
2- 7- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42952g |
Isogeny class |
Conductor |
42952 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
613760 |
Modular degree for the optimal curve |
Δ |
5024369227305633296 = 24 · 7 · 137 · 595 |
Discriminant |
Eigenvalues |
2- -2 -1 7- -1 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-429476,10120813] |
[a1,a2,a3,a4,a6] |
Generators |
[-414:10823:1] |
Generators of the group modulo torsion |
j |
547547044900192662784/314023076706602081 |
j-invariant |
L |
2.6552608604211 |
L(r)(E,1)/r! |
Ω |
0.20754738750146 |
Real period |
R |
6.3967580907568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999637 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85904b1 |
Quadratic twists by: -4 |