Atkin-Lehner |
2- 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970cn |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
3655680 |
Modular degree for the optimal curve |
Δ |
-8.7789378100838E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 -3 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,207922,449263581] |
[a1,a2,a3,a4,a6] |
j |
236545752359/20889600000 |
j-invariant |
L |
4.9780075042377 |
L(r)(E,1)/r! |
Ω |
0.14641198605721 |
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 |
24990i1 74970dr1 |
Quadratic twists by: -3 -7 |