Atkin-Lehner |
2+ 3- 5+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
47430i |
Isogeny class |
Conductor |
47430 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
47040 |
Modular degree for the optimal curve |
Δ |
76836600000 = 26 · 36 · 55 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1590,-20044] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:58:1] |
Generators of the group modulo torsion |
j |
610015948641/105400000 |
j-invariant |
L |
3.7807751558396 |
L(r)(E,1)/r! |
Ω |
0.76495052064179 |
Real period |
R |
2.4712547111291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5270f1 |
Quadratic twists by: -3 |