Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35520w |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-71928000 = -1 · 26 · 35 · 53 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 6 5 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9,-405] |
[a1,a2,a3,a4,a6] |
j |
1124864/1123875 |
j-invariant |
L |
4.5308247350157 |
L(r)(E,1)/r! |
Ω |
0.90616494700384 |
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 |
35520c1 17760i1 106560cr1 |
Quadratic twists by: -4 8 -3 |