Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
36432cq |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-15683587015536 = -1 · 24 · 37 · 117 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 3 11- -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3477,-206233] |
[a1,a2,a3,a4,a6] |
Generators |
[526:11979:1] |
Generators of the group modulo torsion |
j |
-398556845824/1344614799 |
j-invariant |
L |
6.8679571992208 |
L(r)(E,1)/r! |
Ω |
0.28587779612363 |
Real period |
R |
0.85800362606811 |
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 |
9108h1 12144o1 |
Quadratic twists by: -4 -3 |