Atkin-Lehner |
2+ 5+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
36550g |
Isogeny class |
Conductor |
36550 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1008000 |
Modular degree for the optimal curve |
Δ |
-1000306294784000000 = -1 · 220 · 56 · 175 · 43 |
Discriminant |
Eigenvalues |
2+ -3 5+ 0 -2 -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-155917,-53599259] |
[a1,a2,a3,a4,a6] |
Generators |
[1130:34251:1] |
Generators of the group modulo torsion |
j |
-26827837227982881/64019602866176 |
j-invariant |
L |
1.6989602903444 |
L(r)(E,1)/r! |
Ω |
0.11210401257988 |
Real period |
R |
1.515521390576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1462c1 |
Quadratic twists by: 5 |