Atkin-Lehner |
3+ 5+ 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36465d |
Isogeny class |
Conductor |
36465 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
493920 |
Modular degree for the optimal curve |
Δ |
-19605930503605875 = -1 · 35 · 53 · 112 · 13 · 177 |
Discriminant |
Eigenvalues |
2 3+ 5+ -2 11- 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,65374,-2020093] |
[a1,a2,a3,a4,a6] |
j |
30898133478111481856/19605930503605875 |
j-invariant |
L |
0.4424577271756 |
L(r)(E,1)/r! |
Ω |
0.22122886359724 |
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 |
109395t1 |
Quadratic twists by: -3 |