Atkin-Lehner |
2+ 5- 23+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
20470c |
Isogeny class |
Conductor |
20470 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
797760 |
Modular degree for the optimal curve |
Δ |
14567523476562500 = 22 · 510 · 232 · 893 |
Discriminant |
Eigenvalues |
2+ 2 5- 4 -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7767262,8328777504] |
[a1,a2,a3,a4,a6] |
j |
51823610154105353708365801/14567523476562500 |
j-invariant |
L |
3.1653641641674 |
L(r)(E,1)/r! |
Ω |
0.31653641641674 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102350v1 |
Quadratic twists by: 5 |