Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
14640u |
Isogeny class |
Conductor |
14640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-7285800960 = -1 · 215 · 36 · 5 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -7 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10456,-408080] |
[a1,a2,a3,a4,a6] |
Generators |
[124:432:1] |
Generators of the group modulo torsion |
j |
-30867540216409/1778760 |
j-invariant |
L |
3.1231729814764 |
L(r)(E,1)/r! |
Ω |
0.23606043474032 |
Real period |
R |
1.6537994734866 |
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 |
1830c1 58560du1 43920cf1 73200cp1 |
Quadratic twists by: -4 8 -3 5 |