Atkin-Lehner |
2- 3+ 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
106800bo |
Isogeny class |
Conductor |
106800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
59616 |
Modular degree for the optimal curve |
Δ |
-6151680000 = -1 · 212 · 33 · 54 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -2 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-533,6237] |
[a1,a2,a3,a4,a6] |
j |
-6553600/2403 |
j-invariant |
L |
1.2632663891313 |
L(r)(E,1)/r! |
Ω |
1.2632666321883 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6675i1 106800by1 |
Quadratic twists by: -4 5 |