Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
14490bj |
Isogeny class |
Conductor |
14490 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
3644307450000 = 24 · 39 · 55 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11477,467101] |
[a1,a2,a3,a4,a6] |
Generators |
[1:674:1] |
Generators of the group modulo torsion |
j |
8493409990827/185150000 |
j-invariant |
L |
7.9635221160422 |
L(r)(E,1)/r! |
Ω |
0.78781159764428 |
Real period |
R |
0.50542046727001 |
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 |
115920ck1 14490b1 72450b1 101430da1 |
Quadratic twists by: -4 -3 5 -7 |