Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10710u |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-200099992148437500 = -1 · 22 · 316 · 510 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4556228,-3742236669] |
[a1,a2,a3,a4,a6] |
Generators |
[43593201390402629873:74571333778422910833651:14888751553801] |
Generators of the group modulo torsion |
j |
-14348696196102335214841/274485585937500 |
j-invariant |
L |
6.3901564154789 |
L(r)(E,1)/r! |
Ω |
0.051667530656607 |
Real period |
R |
30.919594638406 |
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 |
85680ef1 3570e1 53550bv1 74970dt1 |
Quadratic twists by: -4 -3 5 -7 |