Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
46800dp |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-254396281651200 = -1 · 230 · 36 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 -3 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18795,-1253990] |
[a1,a2,a3,a4,a6] |
Generators |
[43799:9166302:1] |
Generators of the group modulo torsion |
j |
-9836106385/3407872 |
j-invariant |
L |
7.131241615741 |
L(r)(E,1)/r! |
Ω |
0.20037231771921 |
Real period |
R |
8.8974885564383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5850bo1 5200t1 46800fr1 |
Quadratic twists by: -4 -3 5 |