Atkin-Lehner |
3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
65025cb |
Isogeny class |
Conductor |
65025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19740672 |
Modular degree for the optimal curve |
Δ |
4.5253949099151E+24 |
Discriminant |
Eigenvalues |
-2 3- 5+ -4 1 4 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-41637675,14796267156] |
[a1,a2,a3,a4,a6] |
Generators |
[-6315:160937:1] |
Generators of the group modulo torsion |
j |
100471803904/56953125 |
j-invariant |
L |
2.5146082011537 |
L(r)(E,1)/r! |
Ω |
0.066618083860972 |
Real period |
R |
4.7183288205901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002879 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21675u1 13005r1 65025bv1 |
Quadratic twists by: -3 5 17 |