Atkin-Lehner |
2+ 3+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
14640d |
Isogeny class |
Conductor |
14640 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
10856430865890000 = 24 · 314 · 54 · 613 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -2 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57435,-1695150] |
[a1,a2,a3,a4,a6] |
Generators |
[290:2440:1] |
Generators of the group modulo torsion |
j |
1309607540948125696/678526929118125 |
j-invariant |
L |
4.0234622872509 |
L(r)(E,1)/r! |
Ω |
0.3263183037201 |
Real period |
R |
2.0549783454695 |
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 |
7320p1 58560df1 43920l1 73200x1 |
Quadratic twists by: -4 8 -3 5 |