Atkin-Lehner |
2+ 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
73206g |
Isogeny class |
Conductor |
73206 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6589440 |
Modular degree for the optimal curve |
Δ |
-1.0803943783715E+23 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 3 -2 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,11319768,-5936207040] |
[a1,a2,a3,a4,a6] |
Generators |
[1701056893965:139538574573306:365525875] |
Generators of the group modulo torsion |
j |
641526528753125401625/432076520962676736 |
j-invariant |
L |
4.7754300604622 |
L(r)(E,1)/r! |
Ω |
0.060024969179184 |
Real period |
R |
19.889348240258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24402bb1 73206n1 |
Quadratic twists by: -3 -7 |