Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570da |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
1966080 |
Modular degree for the optimal curve |
Δ |
-2.7248290174781E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,974609,-702485575] |
[a1,a2,a3,a4,a6] |
Generators |
[578:7061:1] |
Generators of the group modulo torsion |
j |
870215264126076959/2316066449760000 |
j-invariant |
L |
10.442351064933 |
L(r)(E,1)/r! |
Ω |
0.089592162878772 |
Real period |
R |
1.8211608041027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510r1 |
Quadratic twists by: -7 |