Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176bt |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
-91500788767813632 = -1 · 212 · 38 · 237 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -4 -6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39675,14868074] |
[a1,a2,a3,a4,a6] |
Generators |
[-275:2232:1] [-115:4232:1] |
Generators of the group modulo torsion |
j |
-15625/207 |
j-invariant |
L |
9.7970147029844 |
L(r)(E,1)/r! |
Ω |
0.28735755259973 |
Real period |
R |
2.1308415714286 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998865 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4761c1 25392x1 3312l1 |
Quadratic twists by: -4 -3 -23 |