Atkin-Lehner |
2- 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126ds |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
2935296 |
Modular degree for the optimal curve |
Δ |
-3.9258183258057E+19 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ 13+ -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,399316,285281455] |
[a1,a2,a3,a4,a6] |
Generators |
[-395:8309:1] |
Generators of the group modulo torsion |
j |
923274208269/5147377664 |
j-invariant |
L |
13.119884814625 |
L(r)(E,1)/r! |
Ω |
0.14763407513316 |
Real period |
R |
1.5869213063152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999162154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126v1 126126dj1 |
Quadratic twists by: -3 -7 |