Atkin-Lehner |
5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
70805bq |
Isogeny class |
Conductor |
70805 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
215424 |
Modular degree for the optimal curve |
Δ |
59817120056575 = 52 · 73 · 178 |
Discriminant |
Eigenvalues |
-1 -1 5- 7- 4 -4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50870,4379220] |
[a1,a2,a3,a4,a6] |
Generators |
[153:378:1] [120:84:1] |
Generators of the group modulo torsion |
j |
6084487/25 |
j-invariant |
L |
6.0280628321458 |
L(r)(E,1)/r! |
Ω |
0.62749337803768 |
Real period |
R |
0.80054800088063 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998325 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70805x1 70805m1 |
Quadratic twists by: -7 17 |