Atkin-Lehner |
2- 3+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74256bz |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
7745087604408336 = 24 · 33 · 75 · 137 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 2 13+ 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-282114,57613167] |
[a1,a2,a3,a4,a6] |
Generators |
[269:1057:1] |
Generators of the group modulo torsion |
j |
155195521637763995392/484067975275521 |
j-invariant |
L |
7.7446514497796 |
L(r)(E,1)/r! |
Ω |
0.41798907296059 |
Real period |
R |
3.7056717267303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001315 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18564j1 |
Quadratic twists by: -4 |