Atkin-Lehner |
3- 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
17595t |
Isogeny class |
Conductor |
17595 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
401738776633125 = 39 · 54 · 175 · 23 |
Discriminant |
Eigenvalues |
0 3- 5- -3 -6 -5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-85062,9500040] |
[a1,a2,a3,a4,a6] |
Generators |
[-160:4360:1] [78:1827:1] |
Generators of the group modulo torsion |
j |
93369052798418944/551081998125 |
j-invariant |
L |
5.8226394053739 |
L(r)(E,1)/r! |
Ω |
0.53569102622046 |
Real period |
R |
0.13586748518208 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5865d1 87975r1 |
Quadratic twists by: -3 5 |