Atkin-Lehner |
2+ 3+ 5- 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
36210j |
Isogeny class |
Conductor |
36210 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-392124196454400 = -1 · 220 · 36 · 52 · 172 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 0 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-45652,3854416] |
[a1,a2,a3,a4,a6] |
j |
-10522477411524569161/392124196454400 |
j-invariant |
L |
2.1213296459495 |
L(r)(E,1)/r! |
Ω |
0.53033241148282 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108630k1 |
Quadratic twists by: -3 |