Atkin-Lehner |
2- 3- 5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
63630bm |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
1623519450000 = 24 · 38 · 55 · 72 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-58928,-5490813] |
[a1,a2,a3,a4,a6] |
Generators |
[347:3795:1] |
Generators of the group modulo torsion |
j |
31042334831450041/2227050000 |
j-invariant |
L |
9.8552551089721 |
L(r)(E,1)/r! |
Ω |
0.30642315129341 |
Real period |
R |
4.0202800715966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21210l1 |
Quadratic twists by: -3 |