Atkin-Lehner |
2+ 3+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75072p |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
6080832 = 26 · 35 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 1 0 5 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73,235] |
[a1,a2,a3,a4,a6] |
j |
681472000/95013 |
j-invariant |
L |
2.2965781660121 |
L(r)(E,1)/r! |
Ω |
2.2965781417756 |
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 |
75072de1 1173f1 |
Quadratic twists by: -4 8 |