Atkin-Lehner |
2- 3+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
35520cf |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-736542720 = -1 · 214 · 35 · 5 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 4 -5 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1365,19917] |
[a1,a2,a3,a4,a6] |
j |
-17179869184/44955 |
j-invariant |
L |
1.6066894510447 |
L(r)(E,1)/r! |
Ω |
1.6066894510487 |
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 |
35520bk1 8880v1 106560fc1 |
Quadratic twists by: -4 8 -3 |