Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970cz |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-14580240570 = -1 · 2 · 36 · 5 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 3 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4493,-114929] |
[a1,a2,a3,a4,a6] |
Generators |
[1112161223276:-219977177023:14313506752] |
Generators of the group modulo torsion |
j |
-116930169/170 |
j-invariant |
L |
10.72808615742 |
L(r)(E,1)/r! |
Ω |
0.2915447040743 |
Real period |
R |
18.398698394271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8330l1 1530n1 |
Quadratic twists by: -3 -7 |