Atkin-Lehner |
5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
70805x |
Isogeny class |
Conductor |
70805 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1507968 |
Modular degree for the optimal curve |
Δ |
7037424357535992175 = 52 · 79 · 178 |
Discriminant |
Eigenvalues |
-1 1 5+ 7- 4 4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2492631,-1509550414] |
[a1,a2,a3,a4,a6] |
Generators |
[5071027:153363989:2197] |
Generators of the group modulo torsion |
j |
6084487/25 |
j-invariant |
L |
4.5588534716523 |
L(r)(E,1)/r! |
Ω |
0.12018282309146 |
Real period |
R |
9.4831635558828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993773 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70805bq1 70805bj1 |
Quadratic twists by: -7 17 |