Atkin-Lehner |
2- 5- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
90200u |
Isogeny class |
Conductor |
90200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
593920 |
Modular degree for the optimal curve |
Δ |
10684908781250000 = 24 · 59 · 112 · 414 |
Discriminant |
Eigenvalues |
2- 2 5- -2 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-75083,6187412] |
[a1,a2,a3,a4,a6] |
Generators |
[61:1353:1] [817:22125:1] |
Generators of the group modulo torsion |
j |
1497974171648/341917081 |
j-invariant |
L |
14.25256873012 |
L(r)(E,1)/r! |
Ω |
0.38178624056486 |
Real period |
R |
4.6664098964874 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997222 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90200i1 |
Quadratic twists by: 5 |