Atkin-Lehner |
2- 5- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
73150br |
Isogeny class |
Conductor |
73150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
305280 |
Modular degree for the optimal curve |
Δ |
-149086557812500 = -1 · 22 · 58 · 73 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 11- -7 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9513,683531] |
[a1,a2,a3,a4,a6] |
j |
-243735630385/381661588 |
j-invariant |
L |
4.1544373217583 |
L(r)(E,1)/r! |
Ω |
0.519304670608 |
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 |
73150m1 |
Quadratic twists by: 5 |