Atkin-Lehner |
2- 3+ 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
106800bp |
Isogeny class |
Conductor |
106800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22200000 |
Modular degree for the optimal curve |
Δ |
-1.0738196920637E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -4 3 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120915333,-535459338963] |
[a1,a2,a3,a4,a6] |
j |
-122193431714654556160/6711373075398003 |
j-invariant |
L |
0.40844941492143 |
L(r)(E,1)/r! |
Ω |
0.022691610882559 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6675j1 106800bz1 |
Quadratic twists by: -4 5 |