Atkin-Lehner |
2- 3+ 5+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
71910v |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
16591480197120 = 212 · 33 · 5 · 172 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33533,2363717] |
[a1,a2,a3,a4,a6] |
Generators |
[145:658:1] |
Generators of the group modulo torsion |
j |
154441863401687667/614499266560 |
j-invariant |
L |
7.3147771482394 |
L(r)(E,1)/r! |
Ω |
0.6982033292501 |
Real period |
R |
2.6191428917457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001429 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
71910a3 |
Quadratic twists by: -3 |