Atkin-Lehner |
2- 5- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
10070d |
Isogeny class |
Conductor |
10070 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-5035000 = -1 · 23 · 54 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 2 5- -1 2 -7 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10,-113] |
[a1,a2,a3,a4,a6] |
Generators |
[7:11:1] |
Generators of the group modulo torsion |
j |
-111284641/5035000 |
j-invariant |
L |
9.067466258741 |
L(r)(E,1)/r! |
Ω |
1.0624968208745 |
Real period |
R |
0.71117595213744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80560p1 90630j1 50350b1 |
Quadratic twists by: -4 -3 5 |