Atkin-Lehner |
2+ 3+ 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
14190b |
Isogeny class |
Conductor |
14190 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
-206528142150000 = -1 · 24 · 38 · 55 · 114 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10268,-803328] |
[a1,a2,a3,a4,a6] |
Generators |
[304:4776:1] |
Generators of the group modulo torsion |
j |
-119742239904391369/206528142150000 |
j-invariant |
L |
3.0730034809584 |
L(r)(E,1)/r! |
Ω |
0.22402670846798 |
Real period |
R |
3.4292824971333 |
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 |
113520bh1 42570bb1 70950bv1 |
Quadratic twists by: -4 -3 5 |