Atkin-Lehner |
2+ 5- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
14630i |
Isogeny class |
Conductor |
14630 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-3545516796532480 = -1 · 28 · 5 · 78 · 113 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11+ 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,37246,-752620] |
[a1,a2,a3,a4,a6] |
Generators |
[32060:629210:343] |
Generators of the group modulo torsion |
j |
5714208331470843399/3545516796532480 |
j-invariant |
L |
3.3462799863137 |
L(r)(E,1)/r! |
Ω |
0.25640711042915 |
Real period |
R |
6.5253260346662 |
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 |
117040co1 73150bg1 102410c1 |
Quadratic twists by: -4 5 -7 |