Atkin-Lehner |
5+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
97405c |
Isogeny class |
Conductor |
97405 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
6806800 |
Modular degree for the optimal curve |
Δ |
-5.7908223887513E+21 |
Discriminant |
Eigenvalues |
-2 -1 5+ 7- 11- -3 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,2783444,-3196218488] |
[a1,a2,a3,a4,a6] |
Generators |
[1030:27611:1] |
Generators of the group modulo torsion |
j |
1346216501445963776/3268768272021875 |
j-invariant |
L |
1.9257692105462 |
L(r)(E,1)/r! |
Ω |
0.069719135687039 |
Real period |
R |
1.2555371475988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999271347 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
805a1 |
Quadratic twists by: -11 |