Atkin-Lehner |
2+ 3+ 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
16770c |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
4454400 |
Modular degree for the optimal curve |
Δ |
2.0722055593215E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 4 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-75075982,240579143476] |
[a1,a2,a3,a4,a6] |
Generators |
[12012:1029434:1] |
Generators of the group modulo torsion |
j |
46797945327454032647552834281/2072205559321529523840000 |
j-invariant |
L |
3.1937472046776 |
L(r)(E,1)/r! |
Ω |
0.081779396342324 |
Real period |
R |
1.9526600510163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50310bz1 83850cj1 |
Quadratic twists by: -3 5 |