Atkin-Lehner |
2+ 3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890bc |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
16934400 |
Modular degree for the optimal curve |
Δ |
-1.9394757598988E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 5 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-41566905,103377882901] |
[a1,a2,a3,a4,a6] |
Generators |
[3191:55172:1] |
Generators of the group modulo torsion |
j |
-1889970111815574481/4615008525000 |
j-invariant |
L |
5.1265633824577 |
L(r)(E,1)/r! |
Ω |
0.12228843738251 |
Real period |
R |
2.0960948558581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000179242 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630cn1 127890cv1 |
Quadratic twists by: -3 -7 |