Atkin-Lehner |
2+ 3+ 5+ 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
40470f |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-147634560000 = -1 · 210 · 32 · 54 · 192 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,317,-18227] |
[a1,a2,a3,a4,a6] |
Generators |
[182:209:8] [54:-427:1] |
Generators of the group modulo torsion |
j |
3505573612871/147634560000 |
j-invariant |
L |
4.7391260109747 |
L(r)(E,1)/r! |
Ω |
0.49432772354826 |
Real period |
R |
2.3967530978019 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121410bg1 |
Quadratic twists by: -3 |