Atkin-Lehner |
3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63075h |
Isogeny class |
Conductor |
63075 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
2728984337947265625 = 34 · 59 · 297 |
Discriminant |
Eigenvalues |
-1 3+ 5- -2 0 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-378888,41566656] |
[a1,a2,a3,a4,a6] |
Generators |
[-540:9707:1] [-404:11555:1] |
Generators of the group modulo torsion |
j |
5177717/2349 |
j-invariant |
L |
5.6995298624211 |
L(r)(E,1)/r! |
Ω |
0.22906641371424 |
Real period |
R |
6.2203901588973 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63075t1 2175i1 |
Quadratic twists by: 5 29 |