Atkin-Lehner |
2+ 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890bt |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3096576 |
Modular degree for the optimal curve |
Δ |
6551927850908160000 = 212 · 37 · 54 · 79 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1651995,808342821] |
[a1,a2,a3,a4,a6] |
Generators |
[118:24741:1] [543:8166:1] |
Generators of the group modulo torsion |
j |
16948846917703/222720000 |
j-invariant |
L |
8.2992388359229 |
L(r)(E,1)/r! |
Ω |
0.23819906534482 |
Real period |
R |
8.7104023981048 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999950592 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42630de1 127890ct1 |
Quadratic twists by: -3 -7 |