Atkin-Lehner |
5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70805b |
Isogeny class |
Conductor |
70805 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-1.2566829209886E+20 |
Discriminant |
Eigenvalues |
-1 1 5+ 7+ 2 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9431521,11160862726] |
[a1,a2,a3,a4,a6] |
Generators |
[1667925:96356882:343] |
Generators of the group modulo torsion |
j |
-666793065841/903125 |
j-invariant |
L |
3.4990910520522 |
L(r)(E,1)/r! |
Ω |
0.18526575131686 |
Real period |
R |
9.4434374034635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002628 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70805bh1 4165h1 |
Quadratic twists by: -7 17 |