Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
108900dd |
Isogeny class |
Conductor |
108900 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-576357606000 = -1 · 24 · 39 · 53 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1815,-21175] |
[a1,a2,a3,a4,a6] |
Generators |
[55:-495:1] |
Generators of the group modulo torsion |
j |
30976/27 |
j-invariant |
L |
8.1192972085037 |
L(r)(E,1)/r! |
Ω |
0.50615930835489 |
Real period |
R |
0.44558310176477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999541388 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36300w1 108900dg1 108900dh1 |
Quadratic twists by: -3 5 -11 |