Atkin-Lehner |
2- 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
118720be |
Isogeny class |
Conductor |
118720 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
4071424 |
Modular degree for the optimal curve |
Δ |
-2.3576922460985E+21 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 2 -1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4401825,4255075777] |
[a1,a2,a3,a4,a6] |
Generators |
[1429:29680:1] |
Generators of the group modulo torsion |
j |
-143926975147038505636/35975528657508125 |
j-invariant |
L |
6.8036844423997 |
L(r)(E,1)/r! |
Ω |
0.13845480550314 |
Real period |
R |
0.21937549416575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999617561 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118720h1 29680c1 |
Quadratic twists by: -4 8 |