Atkin-Lehner |
2- 29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
76096g |
Isogeny class |
Conductor |
76096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
372736 |
Modular degree for the optimal curve |
Δ |
-53818510091996224 = -1 · 26 · 298 · 412 |
Discriminant |
Eigenvalues |
2- 0 2 0 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-233519,44845360] |
[a1,a2,a3,a4,a6] |
Generators |
[1687183514268644160:14843570607489921749:4423866679296000] |
Generators of the group modulo torsion |
j |
-22004444268525356352/840914220187441 |
j-invariant |
L |
7.4917755931131 |
L(r)(E,1)/r! |
Ω |
0.35177747551084 |
Real period |
R |
21.296916698306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001092 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76096h1 38048a2 |
Quadratic twists by: -4 8 |