Atkin-Lehner |
2+ 3- 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270o |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2306304 |
Modular degree for the optimal curve |
Δ |
-4.2026567459106E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 4 13+ -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3892275,-997211489] |
[a1,a2,a3,a4,a6] |
Generators |
[35550342860261:-6147129590375443:1201157047] |
Generators of the group modulo torsion |
j |
8945542253538201956399/5764961242675781250 |
j-invariant |
L |
4.5396938624468 |
L(r)(E,1)/r! |
Ω |
0.0792904077907 |
Real period |
R |
14.31350269515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12090v1 |
Quadratic twists by: -3 |