Atkin-Lehner |
2- 3- 7+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36708h |
Isogeny class |
Conductor |
36708 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
3353760 |
Modular degree for the optimal curve |
Δ |
-6.3240363291688E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 -5 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34190668,77033819204] |
[a1,a2,a3,a4,a6] |
j |
-17266587636295735246402000/24703266910815498537 |
j-invariant |
L |
2.0058137959473 |
L(r)(E,1)/r! |
Ω |
0.13372091973014 |
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 |
110124j1 |
Quadratic twists by: -3 |