Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
108900dk |
Isogeny class |
Conductor |
108900 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
-3.4175729423256E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- 1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7260000,4735032500] |
[a1,a2,a3,a4,a6] |
Generators |
[645985142:72001801773:54872] |
Generators of the group modulo torsion |
j |
327680000/264627 |
j-invariant |
L |
6.8146792086792 |
L(r)(E,1)/r! |
Ω |
0.075037924073468 |
Real period |
R |
11.352058426581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032794 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36300z1 108900br1 9900ba1 |
Quadratic twists by: -3 5 -11 |