Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19320h |
Isogeny class |
Conductor |
19320 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
38027556000000 = 28 · 310 · 56 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3168796,-2172205120] |
[a1,a2,a3,a4,a6] |
Generators |
[2336:56376:1] |
Generators of the group modulo torsion |
j |
13745695765783090269904/148545140625 |
j-invariant |
L |
5.2970754504302 |
L(r)(E,1)/r! |
Ω |
0.11315557953575 |
Real period |
R |
4.6812322221871 |
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 |
38640f1 57960br1 96600bp1 |
Quadratic twists by: -4 -3 5 |