Atkin-Lehner |
2+ 3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570ba |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8426880 |
Modular degree for the optimal curve |
Δ |
-3.4356493527202E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -1 5 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-79517569,273063675476] |
[a1,a2,a3,a4,a6] |
Generators |
[6424:162188:1] |
Generators of the group modulo torsion |
j |
-196848716457425398681/121626562500000 |
j-invariant |
L |
5.2326124802502 |
L(r)(E,1)/r! |
Ω |
0.11503934793831 |
Real period |
R |
5.6856768727719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45570i1 |
Quadratic twists by: -7 |