Atkin-Lehner |
3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
36603n |
Isogeny class |
Conductor |
36603 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
19800 |
Modular degree for the optimal curve |
Δ |
-7118588043 = -1 · 36 · 76 · 83 |
Discriminant |
Eigenvalues |
1 3- -2 7- -3 6 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,432,-2241] |
[a1,a2,a3,a4,a6] |
Generators |
[3762:5617:729] |
Generators of the group modulo torsion |
j |
103823/83 |
j-invariant |
L |
5.5270950886445 |
L(r)(E,1)/r! |
Ω |
0.73636948404547 |
Real period |
R |
7.5058719955088 |
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 |
4067c1 747d1 |
Quadratic twists by: -3 -7 |