Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300y |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
133056 |
Modular degree for the optimal curve |
Δ |
-1400620928454000 = -1 · 24 · 33 · 53 · 1110 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,24402,-1051983] |
[a1,a2,a3,a4,a6] |
j |
30976/27 |
j-invariant |
L |
1.5859984668716 |
L(r)(E,1)/r! |
Ω |
0.26433307781573 |
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 |
108900dh1 36300cd1 36300w1 |
Quadratic twists by: -3 5 -11 |