Atkin-Lehner |
3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
36309q |
Isogeny class |
Conductor |
36309 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-29902022787 = -1 · 3 · 79 · 13 · 19 |
Discriminant |
Eigenvalues |
2 3+ 2 7- -1 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-702,11213] |
[a1,a2,a3,a4,a6] |
j |
-325660672/254163 |
j-invariant |
L |
4.3209676780093 |
L(r)(E,1)/r! |
Ω |
1.080241919503 |
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 |
108927bf1 5187k1 |
Quadratic twists by: -3 -7 |