Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550ds |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21288960 |
Modular degree for the optimal curve |
Δ |
-1.378961693424E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 13+ 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-208013846,1156110009128] |
[a1,a2,a3,a4,a6] |
Generators |
[13041481746777500621384672:150919323753537370502641752:1677279246924951033967] |
Generators of the group modulo torsion |
j |
-338432601090393003419185/468839239916716032 |
j-invariant |
L |
6.649245686794 |
L(r)(E,1)/r! |
Ω |
0.085347734364346 |
Real period |
R |
38.953850013221 |
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 |
95550ij1 13650j1 |
Quadratic twists by: 5 -7 |