Atkin-Lehner |
2- 3- 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
73260h |
Isogeny class |
Conductor |
73260 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-173037189600000 = -1 · 28 · 312 · 55 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11+ -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6528,-664652] |
[a1,a2,a3,a4,a6] |
Generators |
[4288897:46438929:24389] |
Generators of the group modulo torsion |
j |
-164852924416/927196875 |
j-invariant |
L |
5.2969275342615 |
L(r)(E,1)/r! |
Ω |
0.23834756314004 |
Real period |
R |
11.111771953467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994486 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24420q1 |
Quadratic twists by: -3 |