Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970cw |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
3440640 |
Modular degree for the optimal curve |
Δ |
-2.9497231041882E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2477768,-3012961269] |
[a1,a2,a3,a4,a6] |
Generators |
[4055:229497:1] |
Generators of the group modulo torsion |
j |
-57186771469183/100270080000 |
j-invariant |
L |
10.250839236744 |
L(r)(E,1)/r! |
Ω |
0.056807626668066 |
Real period |
R |
2.2556036570763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997647 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990m1 74970dk1 |
Quadratic twists by: -3 -7 |