Atkin-Lehner |
3- 5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
124425z |
Isogeny class |
Conductor |
124425 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
285696 |
Modular degree for the optimal curve |
Δ |
5266833728625 = 39 · 53 · 73 · 792 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7497,-222264] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:168:1] [-378:1449:8] |
Generators of the group modulo torsion |
j |
511424215973/57797901 |
j-invariant |
L |
14.60760684988 |
L(r)(E,1)/r! |
Ω |
0.51684048251651 |
Real period |
R |
4.7105465334196 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999934183 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41475t1 124425t1 |
Quadratic twists by: -3 5 |