Atkin-Lehner |
2- 3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570ct |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
10160640 |
Modular degree for the optimal curve |
Δ |
-2.5463523854152E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 7 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-40405401,-99158002119] |
[a1,a2,a3,a4,a6] |
j |
-62008858471273416662401/216436381560000000 |
j-invariant |
L |
3.2329032470993 |
L(r)(E,1)/r! |
Ω |
0.029934289326613 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6510s1 |
Quadratic twists by: -7 |