Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600cl |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-919987200000000 = -1 · 216 · 33 · 58 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11+ 2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49875,-4528750] |
[a1,a2,a3,a4,a6] |
Generators |
[775:20550:1] |
Generators of the group modulo torsion |
j |
-317605995/21296 |
j-invariant |
L |
6.5300535285581 |
L(r)(E,1)/r! |
Ω |
0.15911875788609 |
Real period |
R |
3.4199055762459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4950f1 39600cs2 39600bw1 |
Quadratic twists by: -4 -3 5 |