Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69300bc |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5806080 |
Modular degree for the optimal curve |
Δ |
-1.8272657426389E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -4 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1384800,20556866500] |
[a1,a2,a3,a4,a6] |
Generators |
[2540:201150:1] |
Generators of the group modulo torsion |
j |
100715742101504/62663434246875 |
j-invariant |
L |
4.6621778294091 |
L(r)(E,1)/r! |
Ω |
0.078845712758908 |
Real period |
R |
4.9275325872966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003328 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23100y1 13860n1 |
Quadratic twists by: -3 5 |