Atkin-Lehner |
2+ 3+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75072u |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-1599588532224 = -1 · 219 · 33 · 173 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 3 2 0 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1569,-64863] |
[a1,a2,a3,a4,a6] |
j |
-1630532233/6101946 |
j-invariant |
L |
4.1658035736942 |
L(r)(E,1)/r! |
Ω |
0.34715029977891 |
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 |
75072di1 2346g1 |
Quadratic twists by: -4 8 |