Atkin-Lehner |
2+ 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
35520bl |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-1454899200 = -1 · 219 · 3 · 52 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 3 5 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,2175] |
[a1,a2,a3,a4,a6] |
j |
-4826809/5550 |
j-invariant |
L |
5.4877987397605 |
L(r)(E,1)/r! |
Ω |
1.3719496849385 |
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 |
35520cg1 1110b1 106560ca1 |
Quadratic twists by: -4 8 -3 |