Atkin-Lehner |
2+ 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
75072i |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-1376794938703872 = -1 · 222 · 3 · 17 · 235 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 5 3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,24287,-1039967] |
[a1,a2,a3,a4,a6] |
j |
6043486088375/5252055888 |
j-invariant |
L |
2.6478612273347 |
L(r)(E,1)/r! |
Ω |
0.26478612000296 |
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 |
75072cp1 2346e1 |
Quadratic twists by: -4 8 |