Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970v |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-918555155910000 = -1 · 24 · 38 · 54 · 77 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4860,-1462784] |
[a1,a2,a3,a4,a6] |
Generators |
[212:-2752:1] |
Generators of the group modulo torsion |
j |
-148035889/10710000 |
j-invariant |
L |
3.1603896360225 |
L(r)(E,1)/r! |
Ω |
0.21922182199703 |
Real period |
R |
0.90102504620968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977905 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990bt1 10710o1 |
Quadratic twists by: -3 -7 |