Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
36414bm |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
-484407925333124184 = -1 · 23 · 311 · 72 · 178 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 5 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15660,-33490616] |
[a1,a2,a3,a4,a6] |
j |
-83521/95256 |
j-invariant |
L |
1.5982243840116 |
L(r)(E,1)/r! |
Ω |
0.13318536533307 |
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 |
12138t1 36414q1 |
Quadratic twists by: -3 17 |