Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
28175i |
Isogeny class |
Conductor |
28175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
295960765625 = 56 · 77 · 23 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4517,115016] |
[a1,a2,a3,a4,a6] |
Generators |
[262:169:8] |
Generators of the group modulo torsion |
j |
5545233/161 |
j-invariant |
L |
6.4410540505254 |
L(r)(E,1)/r! |
Ω |
0.96794559642367 |
Real period |
R |
3.3271777227581 |
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 |
1127a1 4025a1 |
Quadratic twists by: 5 -7 |