Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
76320bc |
Isogeny class |
Conductor |
76320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-61819200000000 = -1 · 212 · 36 · 58 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 -3 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4908,-400768] |
[a1,a2,a3,a4,a6] |
Generators |
[33056:6010000:1] |
Generators of the group modulo torsion |
j |
-4378747456/20703125 |
j-invariant |
L |
6.7079945477556 |
L(r)(E,1)/r! |
Ω |
0.25817943767962 |
Real period |
R |
6.4954771469172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981337 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76320be1 8480c1 |
Quadratic twists by: -4 -3 |