Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970dh |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-64813251801009600 = -1 · 26 · 310 · 52 · 79 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,47398,11575001] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:2479:1] |
Generators of the group modulo torsion |
j |
400315553/2203200 |
j-invariant |
L |
11.698807678728 |
L(r)(E,1)/r! |
Ω |
0.25168117470585 |
Real period |
R |
1.9367770376291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994503 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990ba1 74970cv1 |
Quadratic twists by: -3 -7 |