Atkin-Lehner |
2+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
47096g |
Isogeny class |
Conductor |
47096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41216 |
Modular degree for the optimal curve |
Δ |
-1223742464 = -1 · 210 · 72 · 293 |
Discriminant |
Eigenvalues |
2+ -3 3 7- -3 5 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,29,-1682] |
[a1,a2,a3,a4,a6] |
Generators |
[87:812:1] |
Generators of the group modulo torsion |
j |
108/49 |
j-invariant |
L |
4.9026764984218 |
L(r)(E,1)/r! |
Ω |
0.71898163764536 |
Real period |
R |
0.85236469224706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94192g1 47096m1 |
Quadratic twists by: -4 29 |