Atkin-Lehner |
3- 7+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
65331k |
Isogeny class |
Conductor |
65331 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-1529333379 = -1 · 36 · 7 · 173 · 61 |
Discriminant |
Eigenvalues |
-1 3- 3 7+ -1 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35726,2608008] |
[a1,a2,a3,a4,a6] |
Generators |
[72:600:1] |
Generators of the group modulo torsion |
j |
-6917321625184153/2097851 |
j-invariant |
L |
5.0618299767814 |
L(r)(E,1)/r! |
Ω |
1.2112767348759 |
Real period |
R |
4.1789211589722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000075 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7259a1 |
Quadratic twists by: -3 |