Atkin-Lehner |
3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
36603h |
Isogeny class |
Conductor |
36603 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4680 |
Modular degree for the optimal curve |
Δ |
-2964843 = -1 · 36 · 72 · 83 |
Discriminant |
Eigenvalues |
0 3- 0 7- 0 -2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-210,1174] |
[a1,a2,a3,a4,a6] |
Generators |
[8:2:1] |
Generators of the group modulo torsion |
j |
-28672000/83 |
j-invariant |
L |
3.7768089131256 |
L(r)(E,1)/r! |
Ω |
2.545430272007 |
Real period |
R |
1.4837605078638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4067b1 36603c1 |
Quadratic twists by: -3 -7 |