Atkin-Lehner |
2+ 3+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75072r |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-224163790848 = -1 · 218 · 37 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 3 -1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1087,-18495] |
[a1,a2,a3,a4,a6] |
j |
541343375/855117 |
j-invariant |
L |
1.0500628246994 |
L(r)(E,1)/r! |
Ω |
0.52503142270281 |
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 |
75072df1 1173e1 |
Quadratic twists by: -4 8 |