Atkin-Lehner |
2+ 3+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48450j |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46656 |
Modular degree for the optimal curve |
Δ |
-8721000000 = -1 · 26 · 33 · 56 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 6 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,150,4500] |
[a1,a2,a3,a4,a6] |
Generators |
[4:70:1] |
Generators of the group modulo torsion |
j |
23639903/558144 |
j-invariant |
L |
4.4138101052137 |
L(r)(E,1)/r! |
Ω |
0.97735132652099 |
Real period |
R |
2.2580468176934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999442 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1938i1 |
Quadratic twists by: 5 |