Atkin-Lehner |
2+ 3- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
83952c |
Isogeny class |
Conductor |
83952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-4787278848 = -1 · 210 · 36 · 112 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ -3 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7275,238858] |
[a1,a2,a3,a4,a6] |
Generators |
[51:22:1] |
Generators of the group modulo torsion |
j |
-57042062500/6413 |
j-invariant |
L |
4.1832320397356 |
L(r)(E,1)/r! |
Ω |
1.3164584345301 |
Real period |
R |
0.79441020116311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41976g1 9328d1 |
Quadratic twists by: -4 -3 |