Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
76050cd |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1010880 |
Modular degree for the optimal curve |
Δ |
-966335005364625000 = -1 · 23 · 36 · 56 · 139 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 0 13- -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,113283,44932941] |
[a1,a2,a3,a4,a6] |
Generators |
[13673905:487210127:50653] |
Generators of the group modulo torsion |
j |
1331/8 |
j-invariant |
L |
3.9873578733639 |
L(r)(E,1)/r! |
Ω |
0.20153452105488 |
Real period |
R |
9.8924934858975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998149 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8450v1 3042o1 76050fk1 |
Quadratic twists by: -3 5 13 |