Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27300r |
Isogeny class |
Conductor |
27300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-41262533676000000 = -1 · 28 · 34 · 56 · 73 · 135 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 13+ 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49533,10638063] |
[a1,a2,a3,a4,a6] |
j |
-3360132358144/10315633419 |
j-invariant |
L |
3.8205993929321 |
L(r)(E,1)/r! |
Ω |
0.31838328274433 |
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 |
109200cw1 81900v1 1092b1 |
Quadratic twists by: -4 -3 5 |