Atkin-Lehner |
2+ 3+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
15456a |
Isogeny class |
Conductor |
15456 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-17805312 = -1 · 212 · 33 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -5 4 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-77,357] |
[a1,a2,a3,a4,a6] |
Generators |
[3:12:1] |
Generators of the group modulo torsion |
j |
-12487168/4347 |
j-invariant |
L |
4.6458154930605 |
L(r)(E,1)/r! |
Ω |
2.0594095976925 |
Real period |
R |
1.127948393138 |
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 |
15456g1 30912by1 46368bm1 108192t1 |
Quadratic twists by: -4 8 -3 -7 |