Atkin-Lehner |
3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
5925g |
Isogeny class |
Conductor |
5925 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-833203125 = -1 · 33 · 58 · 79 |
Discriminant |
Eigenvalues |
-1 3- 5+ 3 3 5 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2688,-53883] |
[a1,a2,a3,a4,a6] |
j |
-137467988281/53325 |
j-invariant |
L |
1.9890813541797 |
L(r)(E,1)/r! |
Ω |
0.33151355902996 |
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 |
94800bo1 17775s1 1185b1 |
Quadratic twists by: -4 -3 5 |