Atkin-Lehner |
2+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
72200h |
Isogeny class |
Conductor |
72200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-5586698368750000 = -1 · 24 · 58 · 197 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 -4 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,42117,-1379488] |
[a1,a2,a3,a4,a6] |
Generators |
[887:27075:1] [346:5775:8] |
Generators of the group modulo torsion |
j |
702464/475 |
j-invariant |
L |
12.618945578758 |
L(r)(E,1)/r! |
Ω |
0.24280461036804 |
Real period |
R |
6.496450767367 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999939 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14440m1 3800e1 |
Quadratic twists by: 5 -19 |