Atkin-Lehner |
2+ 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
14112b |
Isogeny class |
Conductor |
14112 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-58095911978496 = -1 · 29 · 39 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ -5 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9261,-129654] |
[a1,a2,a3,a4,a6] |
Generators |
[294:5292:1] |
Generators of the group modulo torsion |
j |
1512 |
j-invariant |
L |
3.4297927279521 |
L(r)(E,1)/r! |
Ω |
0.35653936874918 |
Real period |
R |
1.6032791086459 |
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 |
14112a1 28224db1 14112bf1 14112h1 |
Quadratic twists by: -4 8 -3 -7 |