Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414y |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
23596272 = 24 · 36 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 0 -2 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10764,432544] |
[a1,a2,a3,a4,a6] |
Generators |
[51:94:1] [60:-28:1] |
Generators of the group modulo torsion |
j |
654699641761/112 |
j-invariant |
L |
5.1304818828275 |
L(r)(E,1)/r! |
Ω |
1.6776193580331 |
Real period |
R |
1.5290959353393 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4046k1 36414bp1 |
Quadratic twists by: -3 17 |