Atkin-Lehner |
2- 3+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570ci |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
544320 |
Modular degree for the optimal curve |
Δ |
-441238451476677120 = -1 · 29 · 39 · 5 · 710 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 1 -4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,168020,17921357] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:3481:1] |
Generators of the group modulo torsion |
j |
1857060666671/1562042880 |
j-invariant |
L |
7.9711994292456 |
L(r)(E,1)/r! |
Ω |
0.192607950169 |
Real period |
R |
4.5984022190906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45570cn1 |
Quadratic twists by: -7 |