Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970cu |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-860098305787887600 = -1 · 24 · 312 · 52 · 77 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,236587,-5453283] |
[a1,a2,a3,a4,a6] |
Generators |
[93:4118:1] |
Generators of the group modulo torsion |
j |
17075848639751/10028415600 |
j-invariant |
L |
9.8164827099241 |
L(r)(E,1)/r! |
Ω |
0.1652767837316 |
Real period |
R |
0.61868960602613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001585 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990k1 10710bk1 |
Quadratic twists by: -3 -7 |