Atkin-Lehner |
2+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8330k |
Isogeny class |
Conductor |
8330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
3699261036800 = 28 · 52 · 76 · 173 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 6 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-125122,-17087244] |
[a1,a2,a3,a4,a6] |
Generators |
[991908:34723126:729] |
Generators of the group modulo torsion |
j |
1841373668746009/31443200 |
j-invariant |
L |
4.8531115488068 |
L(r)(E,1)/r! |
Ω |
0.25384354738601 |
Real period |
R |
9.5592572645285 |
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 |
66640cg1 74970dd1 41650cf1 170b1 |
Quadratic twists by: -4 -3 5 -7 |