Atkin-Lehner |
7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
14651b |
Isogeny class |
Conductor |
14651 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3696 |
Modular degree for the optimal curve |
Δ |
-1723675499 = -1 · 78 · 13 · 23 |
Discriminant |
Eigenvalues |
-1 -1 2 7+ -3 13- -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,293,636] |
[a1,a2,a3,a4,a6] |
Generators |
[20:112:1] |
Generators of the group modulo torsion |
j |
482447/299 |
j-invariant |
L |
2.4168700081162 |
L(r)(E,1)/r! |
Ω |
0.92275251509834 |
Real period |
R |
0.87306544588814 |
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 |
14651j1 |
Quadratic twists by: -7 |