Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
34656bb |
Isogeny class |
Conductor |
34656 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
569088 |
Modular degree for the optimal curve |
Δ |
-1732946251405839552 = -1 · 26 · 313 · 198 |
Discriminant |
Eigenvalues |
2- 3- 2 1 0 -5 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-578442,-180981828] |
[a1,a2,a3,a4,a6] |
Generators |
[4452:292410:1] |
Generators of the group modulo torsion |
j |
-19692240832/1594323 |
j-invariant |
L |
7.9402531592611 |
L(r)(E,1)/r! |
Ω |
0.086157947153093 |
Real period |
R |
1.1815290497293 |
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 |
34656v1 69312ch1 103968m1 34656h1 |
Quadratic twists by: -4 8 -3 -19 |