Atkin-Lehner |
2- 3+ 11+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
42636a |
Isogeny class |
Conductor |
42636 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
864000 |
Modular degree for the optimal curve |
Δ |
-9.8026184621175E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 11+ 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-88693,476491345] |
[a1,a2,a3,a4,a6] |
j |
-301409320763392000/382914783676463643 |
j-invariant |
L |
1.8331944496207 |
L(r)(E,1)/r! |
Ω |
0.15276620413635 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127908h1 |
Quadratic twists by: -3 |