Atkin-Lehner |
2- 3- 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270bw |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
492800 |
Modular degree for the optimal curve |
Δ |
-474698784661639200 = -1 · 25 · 313 · 52 · 13 · 315 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 0 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-227822,53448221] |
[a1,a2,a3,a4,a6] |
Generators |
[1821:74419:1] |
Generators of the group modulo torsion |
j |
-1793830388826762649/651164313664800 |
j-invariant |
L |
9.2229379596692 |
L(r)(E,1)/r! |
Ω |
0.27819392316894 |
Real period |
R |
0.16576454752514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12090k1 |
Quadratic twists by: -3 |