Atkin-Lehner |
3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
1725g |
Isogeny class |
Conductor |
1725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-132815162109375 = -1 · 35 · 59 · 234 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,11412,300156] |
[a1,a2,a3,a4,a6] |
j |
10519294081031/8500170375 |
j-invariant |
L |
0.37686243575434 |
L(r)(E,1)/r! |
Ω |
0.37686243575434 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27600cq1 110400el1 5175c1 345c1 |
Quadratic twists by: -4 8 -3 5 |