Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400du |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
341381250000 = 24 · 33 · 58 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2283,30438] |
[a1,a2,a3,a4,a6] |
Generators |
[63:-375:1] |
Generators of the group modulo torsion |
j |
5266130944/1365525 |
j-invariant |
L |
8.6011075078745 |
L(r)(E,1)/r! |
Ω |
0.89864402715482 |
Real period |
R |
0.79760053739075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280a1 |
Quadratic twists by: 5 |