Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74480bd |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-2356340733098240 = -1 · 28 · 5 · 713 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 2 0 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-95076,11491304] |
[a1,a2,a3,a4,a6] |
Generators |
[29937:962360:27] |
Generators of the group modulo torsion |
j |
-3155824042576/78236585 |
j-invariant |
L |
6.6754877092005 |
L(r)(E,1)/r! |
Ω |
0.45900788901308 |
Real period |
R |
7.2716481233072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996259 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18620g1 10640bb1 |
Quadratic twists by: -4 -7 |