Atkin-Lehner |
3- 7- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
14973c |
Isogeny class |
Conductor |
14973 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-789541263 = -1 · 36 · 72 · 23 · 312 |
Discriminant |
Eigenvalues |
1 3- 0 7- 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-256,-2095] |
[a1,a2,a3,a4,a6] |
j |
-1845026709625/789541263 |
j-invariant |
L |
3.5090955028142 |
L(r)(E,1)/r! |
Ω |
0.58484925046904 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44919a1 104811l1 |
Quadratic twists by: -3 -7 |