Atkin-Lehner |
5+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
17575d |
Isogeny class |
Conductor |
17575 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
391143257453125 = 56 · 192 · 375 |
Discriminant |
Eigenvalues |
0 -3 5+ 1 3 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-18400,132156] |
[a1,a2,a3,a4,a6] |
Generators |
[440:8787:1] |
Generators of the group modulo torsion |
j |
44091731607552/25033168477 |
j-invariant |
L |
2.1734375829962 |
L(r)(E,1)/r! |
Ω |
0.45908848819694 |
Real period |
R |
0.23671227212997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
703a1 |
Quadratic twists by: 5 |