Atkin-Lehner |
2+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19264h |
Isogeny class |
Conductor |
19264 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
-4061371482112 = -1 · 214 · 78 · 43 |
Discriminant |
Eigenvalues |
2+ -2 4 7+ -5 1 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17781,-923693] |
[a1,a2,a3,a4,a6] |
Generators |
[58873058:283906245:357911] |
Generators of the group modulo torsion |
j |
-37948686032896/247886443 |
j-invariant |
L |
4.1832061613259 |
L(r)(E,1)/r! |
Ω |
0.20663741729087 |
Real period |
R |
10.12209263978 |
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 |
19264u1 1204a1 |
Quadratic twists by: -4 8 |