Atkin-Lehner |
3- 5+ 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
128205v |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3525120 |
Modular degree for the optimal curve |
Δ |
-1.0079293556514E+19 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 11+ 0 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,469977,89178309] |
[a1,a2,a3,a4,a6] |
Generators |
[385242176:16483003303:262144] |
Generators of the group modulo torsion |
j |
15748021459759837184/13826191435546875 |
j-invariant |
L |
12.496134975791 |
L(r)(E,1)/r! |
Ω |
0.14907426800928 |
Real period |
R |
10.478111975681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999941097 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42735s1 |
Quadratic twists by: -3 |