Atkin-Lehner |
5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23275v |
Isogeny class |
Conductor |
23275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-1222446640625 = -1 · 57 · 77 · 19 |
Discriminant |
Eigenvalues |
-1 -1 5+ 7- 0 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3088,-86094] |
[a1,a2,a3,a4,a6] |
Generators |
[90:567:1] |
Generators of the group modulo torsion |
j |
-1771561/665 |
j-invariant |
L |
1.9050684787188 |
L(r)(E,1)/r! |
Ω |
0.31434294913068 |
Real period |
R |
0.37877986526883 |
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 |
4655j1 3325b1 |
Quadratic twists by: 5 -7 |