Atkin-Lehner |
3- 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23265r |
Isogeny class |
Conductor |
23265 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
204859106582625 = 39 · 53 · 116 · 47 |
Discriminant |
Eigenvalues |
1 3- 5- -2 11+ -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25749,1439968] |
[a1,a2,a3,a4,a6] |
Generators |
[212:2234:1] |
Generators of the group modulo torsion |
j |
2589922525662289/281013863625 |
j-invariant |
L |
5.3291774394656 |
L(r)(E,1)/r! |
Ω |
0.54616871975731 |
Real period |
R |
3.2524610355042 |
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 |
7755d1 116325w1 |
Quadratic twists by: -3 5 |