Atkin-Lehner |
2+ 3- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
14706h |
Isogeny class |
Conductor |
14706 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-839204831232 = -1 · 215 · 36 · 19 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 2 -1 2 -3 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1476,-48816] |
[a1,a2,a3,a4,a6] |
Generators |
[1495:57023:1] |
Generators of the group modulo torsion |
j |
-488001047617/1151172608 |
j-invariant |
L |
3.9165362085363 |
L(r)(E,1)/r! |
Ω |
0.35955004348407 |
Real period |
R |
5.446441016367 |
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 |
117648bv1 1634d1 |
Quadratic twists by: -4 -3 |